The supercharger, or "Kompressor" as they call it, boosts the engine's power considerably, but only when it is engaged.
It makes the engine behave has though it were larger by packing more fuel and air into it; thus a 2 liter engine may act like a 3 liter engine, depending on the "boost" that it receives.
The drawback is that there are more moving, and expensive, parts to deal with. Also, I doubt that it does much good for fuel economy/efficiency, or tire wear.
The hell with it though; if I had my choice I would go for the kompressor, in a heart beat. :)