If you wish to receive email notifications from Stripe every time someone purchases a membership etc. you will need to go to your Stripe account and turn on email notifications.
Follow the steps below to do so:
Go to your Stripe account
In the top right hand corner of the screen click on the profile image and select Profile
In the notifications section go to Successful Payments and enable this feature via the checkbox.
From here on, you will receive a notification from Stripe when a payment has been received.