Hi
If you don't have Google Chrome, remove the app and leftovers, doable in one click if you have optimizer aka Mackeeper, CleanMyMac(can be dodgy with popups and "...app not responding" whatsoever), etc. in /Library/ApplicationSupport
/Library/LaunchAgents
/Library/LaunchDeamons
~/Library/LaunchAgents
~/Library/ApplicationSupport (and in applicationscripts and in saved application state folders if can be seen)
Remove everything that corresponds or related to Google.
Again, if you have Chrome there could be some non critical issues on startup that would fix automatically
Then try a reinstall, with mandatory restart afterward to make sure that permissions and app keys/passwords will sit properly