It is what governments are for, but given the current spectacular failures of government, quasi-monopolistic corporations that can afford it might as well take on some of their functions.
There's a tradition of plutocrats contributing in this way [1], and like the commenter said, it actually would help Google's business.
Plutocrats love building libraries because they get to put their name up top. But the cost of building a library is peanuts compared to the cost of running them properly. (Or should be).
I just want to mention as an extention to this thought bubble, a better phrasing would be "this is what small, local, regionally influenced and funded governments are for".
If boroughs and counties had more relevance in society they could easily do things like this if they feel it would be beneficial (IE, they are a rural community with little techie knowledge, so offer training and info sessions to the populace at the local library!)
There's a tradition of plutocrats contributing in this way [1], and like the commenter said, it actually would help Google's business.
[1] http://en.wikipedia.org/wiki/Carnegie_library