Your mission, should you choose to accept it (and if you don't accept it, you are clearly a commie mutant traitor and will be executed): Put on a show.
If your show is acceptable to The Computer, you will be the stars of Alpha Complex. Since the only conceivable reason it would not be acceptable to the computer is that you are commie mutant traitors who sabotaged the show, if the show is not acceptable to The Computer, you will be executed.
Players should be passingly familiar with The Muppets. Using funny voices for your Muppet is not required, though if you want to do it I'm certainly not going to stop you. Players will find it easier if they've at least read the Wikipedia page on the Paranoia roleplaying game, but you can probably muddle along with just "Security clearances are color coded, and you're going to get shot a lot but you've got spare clones so don't worry about it too much. Also, The Computer is your Friend."
Traditionally, Paranoia characters have a mutation and a secret society. You may pick them at character creation, or risk having them foisted on you by the GM when she feels like it.
Suggestions for Muppets include: Kermit-G-FRG, Pigg-Y-MSS, Scoo-O-TER, Gonz-O-GRT, Fozz-Y-BER, Rowlf-G-DOG, Docto-R-TTH, or whatever else you come up with.