That's a very minor distinction; I'd say it's no distinction at all, that it's the same thing. I'd say that not everyone is equal, thus not everyone needs to be given the same opportunities. Neither to become a nation's leader nor to learn about nuclear physics.
However, to employ advocacy for the devil - even if the universality of information were indeed a God-given "right," conflating libraries with the internet is short-sighted. A library requires some actual effort to use; you have to set time aside to get there, you have to behave in a respectful manner once you are there, and if you're checking anything out, you need a membership. The internet provides the same information in a manner that mindless twats can, and do, use it with wild abandon(as evidenced by, by this point, any website that provides discussion among its users). In this capacity, the fact it provides even more information than a library, makes it WORSE than a library.