I've got a few PC's from that era--one 486 and 3 Pentiums. All great machines! Most all of them are running on all original components, including hard disks and floppy disk drives, too and still run great. I run Windows 3.1 on most of them, and have them all on the Internet.
If you can get your hands on an old ethernet card and some extra RAM to throw in that machine, I bet you could get it on the high-speed Internet in no time.