Without drinking anything for a little while, spit on a piece of pH paper. You will see it is alkaline. Your body likes running at a higher pH.
That said, the stomach is very acidic and I assume the slight alkalinity will immediately be neutralized when drank. Perhaps the mineral content without adding halogens is beneficial? My friend drinks nothing but alkaline water and he swears by it. I drink nothing but Pepsi, and although my teeth are gone, I feel OK. A bit lethargic most says, but OK.
I am interested in hearing what others have to say about it too, I'm not a doctor and always wondered.
I did some homework around this a while ago.
Long story short: The body operates generally in a slightly alkaline environment. The stomach is the part where neutral stuff is split into acid and alkaline- the alkaline portion goes into the blood for distribution throughout the whole body, the hydrochloric acid remains in the stomach and is used for digestive purpose.
Normally within a healthy ad wholesome diet, the body will remain in this state. But some things produce acid as byproduct while they are digested, that accumulates in the body. Sugar, alcohol and meat are some of them. If the body cannot get rid of them by neutralizing them, or washing them out by drinking lots of water, they get stored in fat cells. This is also a possible reason why some people don't lose weight at the right places even after cutting down calories...
In those cases the body needs to get hold of an alkaline surplus to have some material to neutralize the excess acid.
As a symptom by failing to do so, the stomach will eventually try to produce more alkaline stuff by producing more stomach acid (that in turn equals the same amount of alkaline molecules) and the person will have some sour breath and heartburn (Sodbrennen in german)
Fun fact: Ancient chinese method to kill people, mostly nobles and other people, that should not get killed like the lowly peasant: These only got as provided food in jail meat and wine, so the body will slowly get an acidose- at some point the heart will ultimately fail...
So alkaline water is quite nice, but whether it is from a natural spring loaded with lots of minerals (and mostly a bit more expensive than other bottled water), or it is designed as a lifestyle product, which would make it very expensive.
If you really need to consume some alkaline stuff, it is simpler to put some baking soda into a glass of tap water and drink it slowly- attention: Not too much soda or other alkaline stuff at once, because otherwise it will neutralize the stomach acid completely, which is not good at all...