This page template will provide a listing of all posts under the specified post type, in this case 'project'

wp_CPT-listing-page-template.php

<?php
/**
 * Template Name: Project Listing
 *
 * Selectable from a dropdown menu on the edit page screen.
 */
?>

<?php get_header(); ?>

        <div id="container">
            <div id="content">

<?php
$type = 'project';
$args=array(
  'post_type' => $type,
  'post_status' => 'publish',
  'posts_per_page' => -1,
  'caller_get_posts'=> 1
  //,'category'         => '',
  //,'category_name'=>'sports' //optionally filter by category
  //,'tag'=>'football' //optionally filter by tag
  //,'offset'           => 0
  //,'orderby'          => 'date'
  //,'order'            => 'DESC'
  //,'include'          => ''
  //,'exclude'          => ''
  //,'meta_key'         => ''
  //,'meta_value'       => ''
  //,'post_mime_type'   => ''
  //,'post_parent'      => ''
  //,'author'	   => ''
  //,'suppress_filters' => true 
  );

$my_query = new WP_Query($args);
if( $my_query->have_posts() ) {
  while ($my_query->have_posts()) : $my_query->the_post(); ?>
    <p><a href="<?php the_permalink() ?>" rel="bookmark" title="Permanent Link to <?php the_title_attribute(); ?>"><?php the_title(); ?></a></p>
    <?php
  endwhile;
}
wp_reset_query();  // Restore global post data stomped by the_post().
?>
            </div><!-- #content -->
        </div><!-- #container -->

<?php get_sidebar(); ?>
<?php get_footer(); ?>

To use, create a page template, paste this code into it and save it. Then, create a Page and assign the page template you just created. Visiting the page will display a listing of all $type Posts.