The GTP has a supercharger not a turbo as stated before. You can probably buy almost everything you need to supercharge the Firebird through GM. The supercharger used on the GTP is an Eaton M90 supercharger if that helps at all. I will say though, that it would be a better idea to just swap motors or buy another GM supercharged 3.8L. I recommend that because the one in the Firebird doesn't have forged internals, so it can only safely handle maybe 6-8 psi of boost. That blower on the stock pulley makes at least 15 psi on the GTP, which would eventually destroy the Firebird's motor if kept that high. The GTP has forged internals, so it can handle upwards of 20 psi. Just my $0.02.
The cheaper route in the end is to modify the Firebird's 3.8L without the supercharger. They have a pretty damn big aftermarket if you look hard enough, and you can go faster for the same price as it would cost to supercharge it and it'd be naturally aspirated.
I met a guy at a meet last spring and he had a Chevy 3.4L V6 Camaro that ran high 13 second 1/4 mile passes all naturally aspirated. That's as fast as lightly modded 5.7L LT1s.