The normal procedure is that the judges will pour their samples at once and fill out their commentary and scores usually silently. Then, once they have finished, they discuss the beer and how they scored it, to come to a consensus overall score. They will often adjust their scores up or down to get closer to each other, but most of the time, the adjustments are small if they were needed at all.
If I may be so bold, this seems to have piqued your interest. I had a similar reaction to my first competition. I got sick of waiting for feedback so I became a judge so I could judge my beers myself.
I encourage you to take a look at the BJCP web site (http://www.bjcp.org
) to find out more about judging and evaluating beer. Find another competition near you, and volunteer to steward. You'll see the inner workings and get to taste a lot of interesting beers. if nothing else you'll probably know right away whether you'd like to pursue it further or not.