If you want to check your invoices, login to your control panel and click on [Account] -> [Invoices]. Here you will find a list of all your invoices, which you can view or download as PDF.
In addition, by default, you will receive your invoices by e-mail immediately after billing.
If you don't want to receive your bills by e-mail, you can always disable this option from your control panel by navigating to [Account] -> [Notifications] and remove the option "Receive invoices by e-mail". Don't forget to save your settings afterwards.