Even is widely reported to make google's homepage search to stop working
Running 3.6.6 here, no problems with Google's homepage.
I do know that some plugins will mess up Google services, such as Ad-Block (if not updated or if configured incorrectly, will mistakenly block scripts used on Google, such as Maps and Gmail).
On the other hand, I have found this thread:
Code:
https://support.mozilla.com/en-US/forum/1/716464
Apparently some users cannot connect to Google
regardless of Firefox version. It seems that there was an error on Google's part (where the site was similarly unable to load necessary scripts), which I can only assume has since been fixed.