To help you to understand how the Beer Gun works...
You connect up the Beer Gun (after putting together as the instructions outline) to the keg using the liquid post. You'll want the keg on <15 psi (10psi works well for me, with 10' of beer line going to the gun). You also connect the gun up to another CO2 feed so that you can purge the chilled, sanitized, bottles. You use the stud trigger on the handle to purge the bottle, then with the working end of the gun at the lowest point in the bottle, you pull the main trigger to start the beer flowing. You'll want to get the tip under the brew as fast as possible and not let go of the trigger until the bottle is filled. Go until the beer is level with the top, or you overflow the foam. Remove the gun and the space it took up helps to bring the beer level down to where it's perfect to maintain carbonation. Cover/cap the bottle and then go on to the next one.
The main trick with the beer gun, or any good tap/keg bottling system is the hose ID that delivers the brew. Another is filling from the bottom so that carbonation remains in the brew. Another is chilling the bottles to the same temp as the brew going into them (to keep foaming to a minimum).
Doing all that, you should be able to bottle from keg and maintain the carbonation in the bottles for more than long enough.
That help you out any??