Maybe I'm just old, but from the perspective of the current day, I'd call the early web period 1990-1995. Or possibly 1990-2000.
(I too am old enough to remember the internet before the web. You really had to work hard to goof off at work when all you had was nntp, archie and gopher.)
And I still miss the spinning globe.
Nonsense, I could goof off quite easily with nntp :)