Universities only monitor illegal activities as per their "networking authorized uses" manual (i.e. piracy, porn etc) they don't care about your google account password.
When on a secured university network, they monitor a lot of things, who gets on, traffic to what destination (web pages used) what ports are being triggered on their networks, not because they are snooping on you , but because your activities can bring virus, attacks and cause general issues with their private network.
Yes they know what your doing, and if they so wish they can lock out your Mac address of your laptop wifi device to access any ports they do not wish you to, same goes with web sites, which means if they suspect something out of the ordinary, they wont chase you down the campus, they will deny services until you end up calling them asking why... and then problems start.
When you signs that form accepting the rules for usage of networking on the campus, did you even read a a word of it.. nope no one ever does, and on page 12 where you saw blah bla blah boring... they have nice little paragraphs about piracy, illegal streaming of video etc...
A free world of people spying on you.. ha.. those are your "my little pony dreams"
Your are a student in a multimillion dollar corporation that sell education to thousand of "bright minds" except they already hired the bright minds to think of all possibilities you are trying to find out.