I would use the Genesis Simple Hooks plugin which allows you to add code to Genesis Comment Form hook. I’m using Hostgator ads for this example, but adsense can be used too.
I dropped this code
<a href="http://secure.hostgator.com/~affiliat/cgi-bin/affiliates/clickthru.cgi?id=brilliantpamela-" style="float:right; margin: 4px 3px;"><img src="http://tracking.hostgator.com/img/Discount_Shared/Hostgator-new-_AN-125x125.gif" border="0"></a>
into
The simple hook action only allows you to place code above the comment. To place the ads with in and on the right of the form in your example, you’ll have to float the ads to the right and add margins to space them out. I added:
style="float:right; margin: 4px 3px;"
Check out the example I made here: on a sample site
This can also be done without using the plugin and going into Genesis’ comments.php.
Currently creating a tutorial at http://brilliantpamela.com/2013/08/31/how-to-insert-ads-in-genesis-comment-form/