Having a Frigidaire refrigerator we love our Frigidaire water filter. It makes our mineral dense city water taste fresh and clean.
Well water often tastes far different than city water, which can be rather annoying if you are used to city water and this is the first house that you have owned that has its own well. Now, some well water is very pure and clean naturally, fueled by underground springs, so you might be fine, but some of it tastes like iron. This is due to the mineral deposits that are in the soil, which are getting into your water. They are not bad for you at all, but they can make your water taste different, which is not ideal.
There are a number of things that you can do to improve the taste. First, just make sure that the water is cold. Put a bottle of it in the fridge after you fill it up at the tap and let it cool down. If you are pouring it straight from the tap, think about adding ice to it before you drink it. Lukewarm water tends to carry more flavor than cold water - in the same way that warm air carries more scents than the cold, crisp air of the winter - and so the cold water is going to taste better even though it is actually the same.
Another tactic is to boil the water before you drink it. This is the same thing that people sometimes do when they want to purify water. Yours is clean, so you are not trying to make it safe to drink, but you can still purify it from the metallic elements that give it that taste. Boil a large pot of it on the stove, pour it into a pitcher or a container, and then put it in the fridge so that it can cool down before you drink it.
Finally, you could get Frigidaire water filters at Frigidaire-store.com and install them in your fridge if it has a nozzle that dispenses water. Since your water has minerals in it, you need to change these filters more often than someone who lives in the city. They are going to remove the minerals and the taste from the water. Ideally, you want to switch out the filter once a month. Most people do not take theirs out more than once a year, which may be why your water tastes so bad - it is being sent through a filter that is very dirty.