I took FA208 at PRC, which is I think the equivalent of FA133 there (PP-AMEL)...
The way they prepared you to fly the Seminole was actually pretty smart. They put you in a CPT for a stage of your flight training to help you get down all of your normal/abnormal/emergency procedures. You then pass a pretty informal stage-check in the CPT. Once you're done with that, they put you in the plane for real.
After you know all of the procedures, speeds, etc., the transition to the real plane is surprisingly smooth. Sure, you'll probably feel like you're hanging on to the tail on the first flight, but you're well prepared.
And no, I didn't have to buy my own fuel tester when I was flying at Riddle.