I just got this car and I'm wondering if it has any potential, performance wise.

Performance wise, NO. Galant is no longer a performance car, except VR4 version, but its a complete different chassis. If you car is JDM spec, then you have many different choice of upgrades, but not all in performance wise.

you could supercharge it which will give you 375-350hp this guy in cali has one and is running 13's at the track. You could also turbocharge it and a nice 5 speed swap

Yeah, but for more show then go. I've seen some pretty sic galants at shows.