I was always told taught that the type of minerals in water do not absorb into your body; rather they just pass through it. It's sort of like sucking on a nail and trying to get iron into your body.
Bottled water companies will add minerals back into water for flavor because folks are not used to the way purified water (AKA RO water) tastes. If you have ever consumed distilled water, it just tastes different. It's much the same with RO water. Distilled water is made with a heat process. RO water is made with a cold process.
The Reverse Osmosis process (or RO water) does not add anything to water. Rather it pushes water though pre and post filters including a membrane (like a roll of plastic wrap) that is designed to let pure water pass though and anything that is not pure water is flushed away. It takes about 7 gallons of regular water to make 1 gallon of pure RO water. (This will vary depending upon the density and quality of the membrane and the system)
If you have one of these RO systems under your kitchen sink, you will notice several (3-7) "tubes". One of those tubes contains the RO membrane and the other tubes are the pre and post filters. The systems are designed to remove as much sediment as possible prior to entering the RO membrane and usually have an activated charcoal filter after the RO membrane to help the taste of the water.
For regular homeowners, on a municipal water system, the reverse osmosis systems work well because the incoming water is treated with chlorine which treats (and kills) the organic matter that gets into a municipal water system. Chlorine is good for this purpose, but it is poisonous to the human body and you should not drink it or shower with it. Remember chlorine is bleach and you don't drink bleach in any quantity.
So it's a great idea to use the RO system on the municipal water, because it will remove 99.9% of the things in water that are not water (including the chlorine).
However using an RO system on a well water system is not recommended for a homeowner. The reason is because there is not chlorine in well water (you don't want it) and the incoming well water going into the RO filtering system can actually start to grow organic material within the pre and post filtering parts of the RO system. This can result in the water coming out of your RO filtering system being worse than the water going into it.