If you cant not login to gmail via your outlook , and you got a message asking you to visit

https://support.google.com/mail/bin/answer.py?hl=en&answer=78754

This means your account maybe blocked,

you can follow these steps to fix it

– login to your gmail via webmail

if you see any captcha ,enter it and login to webmail

if this step does t fix your problem , go to your Account Settings and change to a new password

Hope it help