Definitely sad to hear.
Depending on where you were and the kind of awareness/money your family had, you could argue that much of younger Gen X "grew up with the Internet", since it was available commercially in the very early 90s or so, with things like Compuserve, Qlink, AOL, predating that by quite a bit, although most of America was asleep to it.
I wonder if the people wondering that are more referencing smart phones...because certainly you could say that Gen Y grew up with the Internet if you are not talking only about smart phones.