I've done a ST205 Engine Swap into a Gen II 3sgte MR2, so am somewhat familiar with the process. (This was a turbo to turbo swap, not NA to turbo)
I do agree with Tony. I'm sure you'd be financially much better off selling them both and just getting a factory turbo.
I'd need alot more information before I can give any sort of advise. Its a 1994 Celica, so is it a ST205 or a ST185?
What ancillaries did you get? ECU, Gearbox, alternator, intercooler.
Regardless of this, you'd need to: Upgrade your brakes (both front and rear). upgrade your front radiator (Yes, NA is different to turbo), find the relevant engine wiring harness for the Gen engine your have, unless you want to make your own loom. Possibly source a E153 gearbox with driveshafts. Source a MR2 water neck that connects to the engine block.
Good luck if you decide to go ahead with it! (Its a much bigger task than I undertook)