The 1zzfe from the corolla is a basic easy to install engine swap with minor differences. One sensor plug is not the same and you have to close one hole on the cooling metal hose under the intake. Now if you want the 143 hp from the gt, thats were the hard part begin. You will need the ecu, engine wiring harness and the harness that goes in the car. Because yes, the celica have is computer under the hood and the corolla is in the car. And no, they don't have the same computer... Corolla have 3 plugs and is located in front of the shifter. The celica gt is in front of the battery, under the hood and have 4 plugs.
I did the the swap in my 2000 corolla. Now I'm missing the wiring that goes in the car to complete my setup. Right now, it just run like a corolla...