In genesis all themes use widgets for homepage. You can add your own sidebar easily in genesis using function.php .
To register a sidebar in genesis theme and using it on any page is much easier.
1. How to Register a Sidebar
you can simply register a sidebar using genesis_register_sidebar(), here you can assign any unique id to widget, so it can be used later with widget id. Widget name can be any name for the widget. theme-slug is your current theme slug.
2. Use Genesis Sidebar on any page
Depending on your need genesis sidebar can be used on any page using a simple function.
If you have any question feel free to comment here. We will respond you in some time.