Unfortunately the way the Genesis Framework (not the Child theme you’re using) is setup, you would have to create and customize a template to show what you need since Genesis doesn’t offer that option by default. It’s definitely possible, but it would take some custom work to get going.
I’d recommend using the default homepage being used in this way- http://appfinite.com/tutorials/how-to-setup-the-home-and-blog-page/ and then add what you need on top of that. You can add the Blog Posts to your Custom Homepage by using the Genesis Featured Posts from your widget page.