This is a complete code example for beautiful user profile material ui design with Flutter and Dart. Here is blog post and video for this: https://slcoderlk.blogspot.com/2019/01/beautiful-user-profile-material-ui-with.html

pubspec.yaml

name: mysqltest
description: A new Flutter project.

version: 1.0.0+1

environment:
  sdk: ">=2.0.0-dev.68.0 <3.0.0"

dependencies:
  flutter:
    sdk: flutter

  cupertino_icons: ^0.1.2

dev_dependencies:
  flutter_test:
    sdk: flutter

flutter:

  uses-material-design: true

  assets:
    - assets/images/cover.jpeg
    - assets/images/nickfrost.jpg

  fonts:
     - family: Spectral
       fonts:
         - asset: assets/fonts/Spectral-Regular.ttf
           weight: 400
         - asset: assets/fonts/Spectral-Medium.ttf
           weight: 500
     - family: Roboto
       fonts:
         - asset: assets/fonts/Roboto-Light.ttf
           weight: 200
         - asset: assets/fonts/Roboto-Bold.ttf
           weight: 700

user_profile_ui.dart

import 'package:flutter/material.dart';

void main() => runApp(MyApp());

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: "User Profile",
      debugShowCheckedModeBanner: false,
      home: UserProfilePage(),
    );
  }
}

class UserProfilePage extends StatelessWidget {
  final String _fullName = "Nick Frost";
  final String _status = "Software Developer";
  final String _bio =
      "\"Hi, I am a Freelance developer working for hourly basis. If you wants to contact me to build your product leave a message.\"";
  final String _followers = "173";
  final String _posts = "24";
  final String _scores = "450";

  Widget _buildCoverImage(Size screenSize) {
    return Container(
      height: screenSize.height / 2.6,
      decoration: BoxDecoration(
        image: DecorationImage(
          image: AssetImage('assets/images/cover.jpeg'),
          fit: BoxFit.cover,
        ),
      ),
    );
  }

  Widget _buildProfileImage() {
    return Center(
      child: Container(
        width: 140.0,
        height: 140.0,
        decoration: BoxDecoration(
          image: DecorationImage(
            image: AssetImage('assets/images/nickfrost.jpg'),
            fit: BoxFit.cover,
          ),
          borderRadius: BorderRadius.circular(80.0),
          border: Border.all(
            color: Colors.white,
            width: 10.0,
          ),
        ),
      ),
    );
  }

  Widget _buildFullName() {
    TextStyle _nameTextStyle = TextStyle(
      fontFamily: 'Roboto',
      color: Colors.black,
      fontSize: 28.0,
      fontWeight: FontWeight.w700,
    );

    return Text(
      _fullName,
      style: _nameTextStyle,
    );
  }

  Widget _buildStatus(BuildContext context) {
    return Container(
      padding: EdgeInsets.symmetric(vertical: 4.0, horizontal: 6.0),
      decoration: BoxDecoration(
        color: Theme.of(context).scaffoldBackgroundColor,
        borderRadius: BorderRadius.circular(4.0),
      ),
      child: Text(
        _status,
        style: TextStyle(
          fontFamily: 'Spectral',
          color: Colors.black,
          fontSize: 20.0,
          fontWeight: FontWeight.w300,
        ),
      ),
    );
  }

  Widget _buildStatItem(String label, String count) {
    TextStyle _statLabelTextStyle = TextStyle(
      fontFamily: 'Roboto',
      color: Colors.black,
      fontSize: 16.0,
      fontWeight: FontWeight.w200,
    );

    TextStyle _statCountTextStyle = TextStyle(
      color: Colors.black54,
      fontSize: 24.0,
      fontWeight: FontWeight.bold,
    );

    return Column(
      mainAxisAlignment: MainAxisAlignment.center,
      children: <Widget>[
        Text(
          count,
          style: _statCountTextStyle,
        ),
        Text(
          label,
          style: _statLabelTextStyle,
        ),
      ],
    );
  }

  Widget _buildStatContainer() {
    return Container(
      height: 60.0,
      margin: EdgeInsets.only(top: 8.0),
      decoration: BoxDecoration(
        color: Color(0xFFEFF4F7),
      ),
      child: Row(
        mainAxisAlignment: MainAxisAlignment.spaceAround,
        children: <Widget>[
          _buildStatItem("Followers", _followers),
          _buildStatItem("Posts", _posts),
          _buildStatItem("Scores", _scores),
        ],
      ),
    );
  }

  Widget _buildBio(BuildContext context) {
    TextStyle bioTextStyle = TextStyle(
      fontFamily: 'Spectral',
      fontWeight: FontWeight.w400,//try changing weight to w500 if not thin
      fontStyle: FontStyle.italic,
      color: Color(0xFF799497),
      fontSize: 16.0,
    );

    return Container(
      color: Theme.of(context).scaffoldBackgroundColor,
      padding: EdgeInsets.all(8.0),
      child: Text(
        _bio,
        textAlign: TextAlign.center,
        style: bioTextStyle,
      ),
    );
  }

  Widget _buildSeparator(Size screenSize) {
    return Container(
      width: screenSize.width / 1.6,
      height: 2.0,
      color: Colors.black54,
      margin: EdgeInsets.only(top: 4.0),
    );
  }

  Widget _buildGetInTouch(BuildContext context) {
    return Container(
      color: Theme.of(context).scaffoldBackgroundColor,
      padding: EdgeInsets.only(top: 8.0),
      child: Text(
        "Get in Touch with ${_fullName.split(" ")[0]},",
        style: TextStyle(fontFamily: 'Roboto', fontSize: 16.0),
      ),
    );
  }

  Widget _buildButtons() {
    return Padding(
      padding: EdgeInsets.symmetric(vertical: 8.0, horizontal: 16.0),
      child: Row(
        children: <Widget>[
          Expanded(
            child: InkWell(
              onTap: () => print("followed"),
              child: Container(
                height: 40.0,
                decoration: BoxDecoration(
                  border: Border.all(),
                  color: Color(0xFF404A5C),
                ),
                child: Center(
                  child: Text(
                    "FOLLOW",
                    style: TextStyle(
                      color: Colors.white,
                      fontWeight: FontWeight.w600,
                    ),
                  ),
                ),
              ),
            ),
          ),
          SizedBox(width: 10.0),
          Expanded(
            child: InkWell(
              onTap: () => print("Message"),
              child: Container(
                height: 40.0,
                decoration: BoxDecoration(
                  border: Border.all(),
                ),
                child: Center(
                  child: Padding(
                    padding: EdgeInsets.all(10.0),
                    child: Text(
                      "MESSAGE",
                      style: TextStyle(fontWeight: FontWeight.w600),
                    ),
                  ),
                ),
              ),
            ),
          ),
        ],
      ),
    );
  }

  @override
  Widget build(BuildContext context) {
    Size screenSize = MediaQuery.of(context).size;
    return Scaffold(
      body: Stack(
        children: <Widget>[
          _buildCoverImage(screenSize),
          SafeArea(
            child: SingleChildScrollView(
              child: Column(
                children: <Widget>[
                  SizedBox(height: screenSize.height / 6.4),
                  _buildProfileImage(),
                  _buildFullName(),
                  _buildStatus(context),
                  _buildStatContainer(),
                  _buildBio(context),
                  _buildSeparator(screenSize),
                  SizedBox(height: 10.0),
                  _buildGetInTouch(context),
                  SizedBox(height: 8.0),
                  _buildButtons(),
                ],
              ),
            ),
          ),
        ],
      ),
    );
  }
}