What is a society that has moved to the internet rather than relying on physical media called

I'd say Millennials.

Also known as Generation Y, Millennials grew up with computers and the internet. This makes them adept at understanding visual languages and interfaces. They tend to adjust readily to operating systems and perform tasks associated with computers more quickly than any other generations before them. This is one generation born between 1982 and 2006 that has been absorbed entirely into the Internet.

Teenagers, the modern youth, "the future"