From your Stripe dashboard, you can configure payment notifications to be emailed to you directly from Stripe. Just click on your avatar in the top right, then select Profile (or click here). Scroll down and you should see a checkbox to enable emails for successful payments.
You can also set up email notifications for disputes, payment reviews, and more here.
Do Stripe’s built-in payment notifications not provide enough customization for you? Did you know you can also use Stripe and Zapier to send plain text emails to customers (and custom email notifications to site owners) for Stripe payments?