First of all let me say that the salt levels required to operate these systems are so low that you can hardly even detect any salt in the water (it's nothing like swimming in the ocean).
The way this system works is... Via salt in your pool water, passing water through titanium plates that give off a small electrical charge. causes the sodium chloride (which is salt) to divide. Once sodium and chloride divide the sodium remains the same but the chloride becomes chlorine. The truth is, it's still a chlorinated pool. However the advantage is, (unlike a traditional chlorinator) the salt system renews the chloramines in the pool water (chloramines are expired chlorine molecules that have used their energy sanitizing, but remain in the water inactive. They will accumulate and this is what causes green hair, itchy skin, red eyes, chlorine smell, etc.)
The salt system renews these chloramines therefore eliminating all those undesirable side effects while producing chlorine to sanitize. You can learn more on this clicking the jandy icon on the equipment page.