Once your customers have access to your B2B Store, they can check their order and invoice history.
On the other hand, if you do not want any history to appear on the Store, you can deactivate this option in the B2B Store settings. To find out more please visit this page.
Orders History
Invoices History
Once the Invoice is open, they can check the details of the invoice, print or access the linked sales order (if any):