Welcome to CHR!
You’ve been given great info, re; turbo by Matt – listen to him as he knows the turbo stuff real well. As to the transmission, I’d be more concerned with the torque that you’re going to experience. A stock 700-R4 is good for 350 lb/ft – not nearly enough to handle the turbo. Lots of options for bullet proof aftermarket that will take double that number, but be prepared to drop between $1600 - $2K for the transmission and a new converter.