Unregister Default Genesis Widgets. Add to functions.php file.

Remove Genesis Widgets

/**** Unregister Genesis Widgets ****/
add_action( 'widgets_init', 'unregister_genesis_widgets', 20 );
function unregister_genesis_widgets() {
  unregister_widget( 'Genesis_eNews_Updates' );
	unregister_widget( 'Genesis_Featured_Page' );
	unregister_widget( 'Genesis_Featured_Post' );
	unregister_widget( 'Genesis_Latest_Tweets_Widget' );
	unregister_widget( 'Genesis_Menu_Pages_Widget' );
	unregister_widget( 'Genesis_User_Profile_Widget' );
	unregister_widget( 'Genesis_Widget_Menu_Categories' );
}