Looking at a standard squash court:


The two service squares (labeled as 5) are the goals. Your first point of contact has to be within one of these areas with possession of the disc. All the walls/ceilings are in play. You check the disc in (usually starting at the intersection of line 6 and the line connecting the service squares) and you have to "check" the disc in off the back wall (where the 1, 4, and 7 are). This occurs either by touching the disc to the wall or catching a pass off the wall. You can then score in one of the boxes. After scoring you have to re-check the disc off the back wall. After a turnover you have to re-check the disc off the back wall. Generally more physical play is expected and tolerated. Games are to 7. You will lose track of the score multiple times because the game moves very quickly. Its a great game for working on explosive short cutting (dump cuts) and boxing out/jumping/reading/etc.
First time players definitely play a little slower than seasoned veterans. Eventually the more you play you learn to brace for running into the walls and running into other people and it allows you to play the game faster. Its a lot of fun and a great workout.