On the street the best way is to come up to about a 1000 rpms and feather of the clutch listening for wheelspin. You want a small amout of wheelspin, but you have to watch because the GTO will go from a little bit of spin to fry the tires and not moving in a blink. By 3500-4000 you want it to be completely hooked up, not spinning. run it to 6000-6100 and shift to second. Redline is at 6500, but the tach is slow so you will be there at 6100.
At the track it is very similar as long as you have street tires on. Lower your air pressure to 26 or so. Drive around the water in the burnout box and back into it. Do a 1 second burnout to clean the tires of and get them a little sticky. Stage. Take it up to 1800-2500, depending on how sticky the track is, and get ready to go. When you think you see the bottom yellow light turn on, release the clutch fairly quickly and slowly add more throttle to keep the tires lightly spinning till you get to around 4000 rpms where you should allow the car to completely hook up. Remeber to shift at 6100 in 1st, 6200-6300 in second and 6300-6400 in 3rd due to the slow tach.
The most important part is to be friendly and wave, maybe giving a thumbs up to the driver of the car you just beat.