Master Gee has an almost impenetrable shield 4x Conference Call + Bee shields won't make a dent. In fact the Bee is a very bad idea as it's almost impossible to not be taking damage for most of this fight.
Baby Maker reloads aren't much use either. The only thing that seems to hurt Gee's shield in any useful way is his own worms.
Master Gee spawns sand worms - one at a time at first, but more and more as the fight continues.
Each worm that you kill produces a fountain of corrosion on the spot where it died. If you do nothing about this a pool of corrosion will spread out from it until it fills the entire arena and you'll be taking constant corrosion damage.
The only way to get rid of the fountain of corrosion is for it to be absorbed, either by a player (normally an instant FFYL) or by Master Gee (the only way to kill his shields).
So this fight is always about kiting, luring, singularity/phase-lock pulling, or otherwise getting Gee to run through the middle of the fountain left by the last sand worm killed before too many others spawn.
If you end up with two fountains too far apart then your fight is usually over - one or the other is going to spread until the constant DPS kills everyone.
In a word: annoying.
Is there a quick way to kill him? No, I'm pretty sure he's been designed to be very tough to defeat no matter how levelled/kitted up the team taking him on is.
That said I've seen him killed in a single shot by a level 999 player who was obviously hacked, but I'd avoid hackers and public games until the graveyard exploit's fixed.