simple.js

const SuperSimple = artifacts.require('SuperSimple.sol')

contract('SuperSimple', function (accounts) {
  let owner = accounts[0]
  let bidderA = accounts[1]
  let simple;
  
  beforeEach(async function() {
    simple = await SuperSimple.new({from: owner});
  });

  it('Should emit some events', async function() {
    await simple.sendTransaction({ value: 1e18, from: bidderA });

    await simple.something();

    var result = await simple.second.call();

    console.log("Result of the second function: " + result);

    assert.equal(true, false); // to automatically list the events
  });

});

simple.sol

pragma solidity ^0.4.23;


contract SuperSimple {

  event LogNumber(uint number);
  event LogText(string text);
  event LogAddress(address addr);
  
  constructor() public {
    emit LogNumber(1);
    emit LogText("constructor");
    emit LogAddress(msg.sender);
  }

  function() public payable {
    emit LogNumber(2);
    emit LogText("fallback");
    emit LogAddress(msg.sender);
  }

  function something() public {
    emit LogNumber(3);
    emit LogText("a function");
    emit LogAddress(msg.sender);
  }  

  function second() public returns(string) {
    emit LogNumber(4);
    emit LogText("a second function");
    emit LogAddress(msg.sender);

    return "I have been called";
  }

}