Is the BT Business Smart Hub the same for Fibre to the Premises (FTTP) and how do I connect it?

It's mostly the same with the exception of the input port at the back.

For FTTP and Gfast, an Ethernet input port is used, rather than the telephone cable port:

Follow the steps in the BT Business Smart Hub user guide (PDF, 2.92MB) to get your hub connected.