Driving without it will result in:
* Loss of power steering: Making the car extremely difficult and dangerous to steer, especially at higher speeds.
* Loss of alternator charging: Quickly draining your battery, leading to a complete electrical failure. This means no lights, no power brakes, and eventually a stalled engine.
* Overheating: Without the water pump running (if belt-driven), your engine will overheat very rapidly, potentially causing catastrophic engine damage.
Therefore, the safe distance you could drive a 1999 Pontiac GTP with a supercharger without an accessory belt is essentially zero. You should not attempt to drive it at all until the belt is replaced. Even a short distance could cause irreparable damage.