Dear Steven,
Thank you for interesting in our EShop Shopping Cart extension. Regarding your question: Yes, EShop supports you to sell the downloadable products. You can read more about how to set it up here:
eshopdocs.joomservices.com/catalog/downloads
So customers after placing order and pay for the order, they will receive an notification emails to download products. They can also access to the Customer page of EShop to download the purchased products from there.
I hope my answer is useful.
Sincerely, Giang