Get to the track early and walk the starting area. Pay close attention to where the start line is and where the lights trip at. Do this by moving your foot like it was a tire on the track.
Make sure you follow the track officials instructions. Your best bet is to make sure you watch the instructions and what people do before you attempt to run your car. patience is tough at the strip, but pays off big time.
With street tires, as was said earlier, you are wasting rubber by doing a burnout. I pull around the water and back into the box, then just spin for a second to clean any debris off the tires. Set the rear pressure at 25. If you have an experienced drag racer with you have him watch you and look at your time slips to adjust pressures any different. Pump your front tires up to 40-45, this lowers rolling resistance.
As far as the tree is concerned, there are 3 yellow lights and 1 green. You are supposed to go on green. Top yellow will light then second yellow, then third, then green. When you think you see the bottom (3rd) yellow light go. Between the cars reaction time and yours you will end up close to the green light.
With your GTO for the first time I would suggest to run it pretty much like you would on the street. Like golfing if you try to kill your first tee shot you end up duffing it. Come up to 1500-1800 rpms and ease the clutch out fairly quick while adding gas. If you feel it bog add gas faster or slip the clutch more. More than likely you will spin and you can back off the gas a bit to reduce it, although a small amout of spin is good with streets. Watch the tach and shift as close to redline without hitting the rev limiter as you can. Don't try to stretch 3rd through the 1/4, shift at 200 rpms before redline. You'll get faster speeds and better times.
You will need a helmet, and long pants. Wear a light weight shirt even if it is cooler out. Wear comfortable shoes.
Turn your cell phone off. You don't want it to ring at the line. That has happened to me, and it kills your run.
Take everything that doesn't need to be in your car out, weight kills speed. A 1/4 tank of gas, no floor mats, remove the trunk mat, and if you dare, the jack and spare. (I'm a poet and don't know-it)
Take a bottle of windex and paper towels to clean the markings off your windshield.
That's more than enough for now. Just remember the most important things are to have fun and be safe. Don't do something stupid for an extra tenth.