Of course there's a wikipedia article on this, which counts 10k+ web sites at the end of that year: https://en.wikipedia.org/wiki/List_of_websites_founded_befor...
For most applications you would dial up a remote system anyway so many used the web by way of plain terminal software. The Lynx web browser had existed for just over two years by then and it wasn't the first web client.
For example, see "The Original HTTP as defined in 1991": https://www.w3.org/Protocols/HTTP/AsImplemented.html
It may not have been ubiquitous as it is today, but the web was definitely not out of reach for normal people back in '94.
What transformed the web was the launch of the Mosaic along with NCSA HTTPd - mostly in the backend of 1993 - it took off like wild fire - it's hard to remember dates, but I definitely remember the launch of Netscape Browser - which according to wikipedia was late 1994 - and at that point the web was already pretty popular.
Not just the web, but a large percentage of people had their own websites - it was ridiculously easy to do - just put an index.html in your ~/public_html folder.
Obviously this was all the in rarefied atmosphere of academia - and the computers were Unix work stations and most users were at University and largely PhD students at that.
I think it was Christmas break 1993 when a high school friend came to visit (he went to a different college) and started up Mosaic. I asked him what it was and then he laughed that I was still using Archie and FTP to find stuff.
I think it was xmosaic version 0.9 or something like that.
Your comment doesn’t seem accurate, it was starting to catch on pretty aggressively by 1994.
My first experience was sending an email with the url I wanted to access to a server that would send back the hypertext document a few minutes later.
Edit: Something like https://www.mcall.com/news/mc-xpm-1996-02-20-3077566-story.h...
If you were on Windows it was tricky then as you had to download and configure your own tcp/ip stack. That was possible due to the ingenuity of Peter Tattam who sold software that let you do that. I met him back then and to some of us he was a true rockstar programmer.