There is not a setting in Store you would need to log into your Stripe account to enable their email to be sent for different actions. To do this you would need to do the following:
- Go to https://dashboard.stripe.com/account this should bring up the account modal if not click on your account name in the upper right corner.
- Click emails from the modal window on the right side.
- Check the boxes next to the emails you want Stripe to send to you and/or the customer on a completed order or refund.
- Save by clicking Done
After that Stripe will send out emails based upon your selection anytime an order is processed in Store.
Store has the ability to send out emails based upon order status, the benefit of sending the emails through Store over Stripe is that you have full control of the markup and you are able to use any and all EE custom fields, snippets, and most other add-ons. You can see more information about the email templates in the docs and you would want to use the orders tag pair to build you templates.