Community Builder Problem

It seems every time a Facebook user logs in, I receive a New User notification from CB. JFBConnect settings: New User: No, CB Integration: On

Mostly you turned the option "Create New Joomla User" on. Turn it off so JFP won't create new users. CB Sync its users table against Joomla's so the scenario is as follows:
- a Facebook user logs in,
- a new user is created into joomla ,
- New user synced with Community Builder,
- Community Builder sends the emails.

So disable "Create New Joomla User" in JFPConnect Configuration tab.

For the integration option, it only works for pulling data from Facebook and filling the matching fields in Community Builder. If Integration is disabled, the new user will be created with empty fields.

Hope it works for you