There are a few ways to find out if there are new Requests in the Project:
In the top of the main frame of the Homepage, there is a count of Requests. Click the Requests link to display the list.

Project Count Totals
Alternatively, choose Requests from the Display drop-down box on the Homepage.

Request bin
In addition, the administrator may have configured FootPrints email notification to send email to one or more people each time a customer submits a new Request.