on a positive displacement supercharger (mine) sits on top of the engine, intercoolers not required at first but when boosting up (or spinning faster if you like, generating more boost) you can upgrade to a water to air intercooler, its like a piece of meat in a sandwich and has water lines that go from the supercharger to a cooler (or radiator) at the front of the car.
centrifugal superchargers act more like a turbo, more laggy and air to air intercooler same thing as a turbo