Click on All Orders on the left-hand side of your dashboard to access the orders list. Here you will find lists of all orders within your account and gain access to the order details. The list can be filtered by integration from the left-hand side in navigation, by state or date.
It can be very helpful to understand the different order states. They are all explained right here: What do the different order statuses mean?
If you did not select any options to review manually your orders in your settings, the payment method is working and orders come in without errors, the process runs automatically. If there are issues with an order, we will inform you by e-mail.