During my studies, the main internet tools were telnet and ftp. There was no firewall and it was really easy to connect to any computer anywhere. It was also really easy to find password (ypcat passwd then dictionary based attacks). My girlfriend was in another school (500km away) and I was using a small utility named xhtalk to monitor when she was connected in order to chat with her. With xarchie, you could search a software or game by its name and it returned an anonymous ftp server.
I played go on internet using igs in 1992. There was something similar for chess.
The main information source was the newsgroups. There was already hyperlink navigation with gopher.
The version of linux on my PC was 0.99 (version of the kernel). I was using it mainly as an X server to access the school computers when the rooms were closed.
Back then email was still the primary civilian use of the internet, although by the mid-80s BBS's and USENET were firmly entrenched. https://en.wikipedia.org/wiki/Bulletin_board_system https://en.wikipedia.org/wiki/Usenet
The early walled gateways (AOL, Compuserve, etc) and then the wider web as you know it didn't really take off until the early 90s.