As nrlh said, the 9.3.3 jailbreak is semi-untethered. You don't need to re-connect it to the computer to restore your jailbreak.
Start up your phone, open the Pangu app, and click the big circle. Once you do, lock your phone, wait a few seconds, and it should restart automatically (you might need to wake your phone). Once it restarts, it should be jailbroken - Cydia should open, and all your installed tweaks should be running.