1- I create a tab for users (for example "Gallery") and I would like that only people with connection can see them. How is possible ?
Install CB Privacy then edit your tab. Next under Integrations > CB Privacy set "Display" to "Forced privacy control" then set "Default" to "Connections". Should work as you're wanting.
2- (old question in the Forum) How can I manage notification (like FB) when I have a pending connection ?
Ensure CB Auto Actions is installed then in System Actions publish the CB Connections notification system actions that you want to use. Next time you get a connection request you should see a notification for it and can accept/reject the connection request directly from the notification. You should see the notifications icon at the top of your profile on the CB Menu bar to manage your notifications.