Is that possible show user’s post after user login

You can get the current user ID with get_current_user_id( ):

$user_id = get_current_user_id( );

The user ID can be used to get the userdata with get_userdata( ):

$user_data = get_userdata( $user_id );

With that information you should be able to fetch the requested Post with WP_Query.
For example (by users nicename):

$query = new WP_Query( 'author_name=rami' );

Combining this all together you can create something like:

if ( is_user_logged_in( ) ) {
  $user_id = get_current_user_id( );
  $user_data = get_userdata( $user_id );

  $query = new WP_Query( 'author_name=" . $user_data->user_nicename );

  if( $query->have_posts( ) ) {
    while( $query->have_posts( ) ) {
      $query->the_post( );

      // The Loop
    }
  }
} else {
  // A visitor
}

You can play a little bit with the code to get exactly one post with WP_Query but you sure are a bit further down the road with this.