Download and install the <Adafruit_TFTLCD.h> library (and <Adafruit_GFX.h> if you do not have it already).
Run any of their example programs and see what ID is reported on the Serial Terminal.
The ILI9335 should be pretty similar to the ILI9325. So if it finds an ID of 0x9335, try tft.begin(0x9325);
Untested. I do not have an ILI9335.
If you have no luck, tell us what ID was found.
David.