Steve,

Sounds like you have an ion exchange resin type water softener. In these
there is a resin which releases sodium and takes up calcium. So the amount
of sodium (which is the "salt" that concerns you) in your tap water is a
function of the hardness of your well water. Really hard water will yield
somewhat more "salty" tap water than slightly hard water does. For most
folks this "saltiness" is thought to be insignificant.
By having the hardness of your well water tested and reading the owners
manual or writing to the manufacturer you should be able to figure out how
much salt is in your water. Then figure out how much water you drink per day
and you'll know how much salt is being added to your diet by your water. Run
this number by your physician for his advise.

Dave M.