Concerns? Well water is a delight! No chlorine or chloramine. You will get spoiled by this and wrinkle up you nose when you go back to the city.
There are, of course, some concerns relevant to use both as a source of brewing water and water for other purposes. The first and foremost would be contamination of your well by something harmful such agricultural or industrial runoff or high level of dissolved radon i.e. microbiological, chemical or radiological threats. Before you will be given an occupancy permit you will have the well tested for these so if you can use the well legally it will be safe.
Second would be the presence of something that tastes bad such as high levels of iron or manganese. If your well has those you will need to install equipment to remove them as not only do they taste bad but they stain porcelain, clothes etc. Organic substances such as geosmine can lend an earthy or musty taste. They can be removed with an active carbon filter.
Third might be low pH. In mesic regions the soil contains bacteria which respire. This results in the presence of carbon dioxide which is at partial pressure well above the 0.0003 atm found in the air. As a consequence well water in these regions is often at a pH of around or even below 6 and can be quite corrosive. This problem is dealt with by trickling the water over a bed of dolomitic limestone (another tank in your basement).
Fourth is hard water i.e. water in which a lot of calcium and/or magnesium are dissolved. This can be a problem for brewing and for the household as it leaves encrustations on faucets and shower heads, results in increased soap consumption, plugs up your water heater and is bad in some types of beer. Hardness is solved by ion exchange softening in which the water is trickled over a bed of resin beads (yet another tank in your basement) charged with sodium ions. The beads release the sodium ions in preference for magnesium and calcium ions with the result that you wind up with high concentration of sodium and low concentration of calcium and magnesium. This is a problem for the brewer who prefers calcium and magnesium, up to a point, to sodium in his beer.
Two through four are problems in brewing but also in the use of the water for other purposes. Therefore you house will have as many of the treatment devices mentioned above as are needed. This leaves the fifth potential problem: alkalinity. Alkalinity is the main concern of brewers as it pulls the pH of mash high. Home owners don't care about it so there is no device that eliminates it and that is usually left to the brewer. Elimination methods consist of boiling, treatment with lime, neutralization with acid and removal of the responsible ions by reverse osmosis.
What concerns you will actually have depend, of course, on your water and can be quite variable. The first thing to do is get a sample off to a laboratory who will assess your water from the brewer's POV (Ward Labs).