First used emails at Uni in the mid 80s - but the Internet proper was in '88 when my first job at the same Uni was as a assistant systems admin maintaining the SMTP email systems and I got the job of setting up the Usenet feed for the computing school. Technically it was the national JANET (Joint Academic Network?) network which was X25 and not TCP/IP - but it was effectively the Internet.
Spent many an hour or two a day 'testing' the Usenet system to make sure it was working
(Usenet was worldwide distributed bulletin boards running over the Internet).
This was all pre-web days.
Also, for any techies, this was pre DNS days, so maintaining the list of domain names to IP addresses was a bit of a pain.
And did you know - way back then - the UK had fully qualified domain names in the opposite order to what they are now? Eg.
john.smith@uk.co.hotmail...