Considering the volume of games at PBW, I'd be surprised if there weren't any games for new players starting.
A quick glance down the list of game titles shows:
NewbieGame: Needs a replacement player, currently in endgame at turn #125
DevNull Learning: Needs two more players to start.
There is also "Turn Blitz #1", If you want a trial by fire.
Basically, turns are every hour, no exceptions. The AIs will play most of everybody's turns. The whole thing should be over within two weeks.
Low pressure, since the AIs are messing with everybody's plans.
Just watch the clock for when the next turn is due, and don't worry about missing turns in this game: everybody has to sleep sometimes