One of the very first internet browsers I ever used could work over telnet/ssh. Had no graphics support of any kind.
You dialed up the service provider, logged in, and were presented with an html menu in Lynx browser, running on a Solaris system.
This was circa 1992.
Lynx still kinda exists, but has mostly been replaced with Links2. And Links2 does have X11 support, but still just fine in the console. No mouse needed.