Cannot connect to the real [website.com]
I finally got it to work! 

google.com (and other websites) refuse requests from hosts that doesn't have the date properly set on their device. 
At the first startup, I didn't bother setting the date on my tablet (on iOS it sets automatically). 

After manually  setting the tablet's date and time, the error page is gone and I have access to all the google apps.

EDIT.
According to Izzy, it was Chrome itself that refused the connection, possibly because the certificate dates were not matching.