Web refers to Gemini here, it being a command-line client for the Gemini web.
These line-based browsers used to be more common, there were a few ones for the www but also ‘ftp’ has such a mode. As does my little ‘nostt’ Teletext reader.
Gemini being part of the web is pretty baked-in. You can link to http:// pages from gemini, and gemini:// pages from HTTP. And all these links participate in the hyperlinked "Web".
It even supports mime types, you can serve text/gemini from an HTTP server, or a text/html file from a Gemini server.
These line-based browsers used to be more common, there were a few ones for the www but also ‘ftp’ has such a mode. As does my little ‘nostt’ Teletext reader.