holy shit, I swear we need a swap sticky!!
Yes the 4AGZE will go in your car, however the GZE intercooler will NOT clear the hood so you will either A: have to make a hole in it or B: get a front mounted intercooler (FMIC). Also if you are getting a GZE make sure you get the AE92 or AE101 GZE as they come with the E53 FWD transmission, and you will also need the axles.
Talk to "4Aaron GE" on the board, he has done the GZE conversion on his AE102 Corolla sedan but he used the C52 transmission instead of the E53 that comes with the GZE, I believe he used the 4AGZE from an AW11 MR2 SC.