First thing is: You don't want to add either of them to A stock motor that did not come with it. The compression will be too high. All motors that have those items from the factory are lower comp. than non-boosted motors.
As far as which is better, Its A jusgement call and your decision based on preference.
A turbo has its benefits for simplicity once its installed. A supercharger has its benefits for looks and sound,
Disadvantage of turbo is LAG, where super is instant.
Disadvantage of super is it robs more power than turbo.
I don't know the numbers on A turbo system but on A supercharged motor if it produces 1700 HP. It only gives up 1400 HP at the end of the crank. It takes 300 HP to run the super.
From jksracing if u run the boost(psi) at 3-5 ure engine should b fine and u only get turbo lag witha really big turbo get a turbo that is crafted 4 maken up 2 275-300 hp and u should b fine and turbos have a bov(blow off valve) that sounds good 2 superchargers kinda whine a lil but its all a personal preference ive done both and i like turbo a lot more and u also have the option of sprayen(nos, nitrous oxide) which is cheapest and u have NA(naturally aspiration) which is increasen the displacement of the engine the most expensive