You still take a PIC checkride but the training time is reduced because you did the initial ground training and flight training when you did your SIC type. You would go through a recurrent class which takes about half the time as an initial and come out with the PIC type
Yes. It is still a full blown checkride. Not just a regular recurrent check ride. It is usally called ugrade training and that is more than an recurrent ground school and sim.