The differences from the factory are the springs and shocks.
The rest applies to 94-96 cars.
Is your car a civilian caprice or a police package 9C1 caprice? All of them have the same front brakes as the SS, but only the 9C1 will have the rear discs that the SS got as well, a civilian car will have rear drums. A 9C1 rear axle is slightly narrower, but SS rims will still bolt right on to it. The car won't look "right" without spacers to push the wheels out slightly, park a 9C1 on SS rims next to an SS and you will see what I mean.
A civilian caprice might not have the same swaybars as an SS does, but a 9C1 will. Either way, ALL the SS/9C1 parts will bolt on.
Also, a 9C1 and an SS both have "fast" ratio steering, I believe it is 12.8:1. A civilian caprice will have a slower ratio steering gear and thus the steering wheel needs to turn further to make the car turn the same radius corner.