Some of the jokes might play as funny in audition, but really this monologue is one of George's more vulnerable and raw emotional moments in tthe movie. For a standup comic, the stage is a place where he can be honest and express what he's going through. It's a slightly sad moment as we discover he has no one he's really close to and its onstage where he's able to open up. Bearing his soul to strangers, fans, in a club.
You could certainly consider this in the category of dramatic monologue. Great balance of past/present action as his recollections about his Athiest family tie directly to the terminal diagnosis he's trying to come to terms with. And the anger, at the situation, at his father for not giving him a religious faith that could have given him comfort now, is deep and moving. He has a strong desire in the scene to connect, to find comfort for the pain he is in, to release it, to tell someone. He also is struggling wanting to recapture his life before he got the diagnosis. He wants to go onstage and be adored, like normal, and do his act, perform a short set, like he usually would. But he can't just do his standup like always. So there is great internal conflict here as well. Ahh! This monologue is just fricken deep and honest and awesome. If you're into bear your soul kinda stuff, this monologue is your bag.