Hello Bullwinkle,
The 2002 Z06 is a fair street machine right off the showroom floor, for that matter the standard coupe and covertible are pretty good in their own right. The standard engine is 350 HP, and w/the 6 speed trans you will have 375 lbs ft. of torque.
The Z06 with it's LS6 develops 405 HP and 400 lbs ft. of torque.
Now to your question, turbo VS super charging.
Turbo charging is produced by a turbine located downstream in the exhaust manifold, it utilizes the hot gasses from the exhaust to spin up a small turbine that in turn directly drives another small centrifugal turbine or compressor that compresses the air, making it more dense, and therefore produces higher combustion chamber pressures, hence more force exerted on the piston driving it down with more force and a resulting more HP and Tq.
Supercharging does essentially the same thing to the air, but instead of being driven by hot exhaust gases, it is usually driven off the engine at a speed relative to the crankshaft RPM, normally by a belt.
This means that when power is demanded, in supercharging the response is practically instantaneous, as opposed to turbocharging that has "turbine lag", this is cause by the very short amount of time needed for the turbine to spin up to a higher RPM in order to produce the additional pressure.