I'm pretty sure I've seen it at least 10 times now. I may have a problem.
That said, it helped me get through a (terrible) US Government class back in college. There's a surprising amount of useful information in that series.
There should be a 10x club (support group?). I think I've seen it about that many times, too. My favorite thing is how often Sorkin reuses the exact same lines throughout all of his works. I'm assuming this is 100% intentional, but haven't ruled out the possibility he was simply too high to remember what he wrote previously.
If there are any other West Wing fans here (and apparently there are!), you have to check out The West Wing Weekly podcast. It's hosted by two people, one of them Joshua Malina, who played Will Bailey on WW, and is basically them recapping each episode, as well as interviewing people from the show or somehow relevant to the episode (e.g. senators, etc).
Seriously, if you love the West Wing, I can't think of any way that you won't love this podcast.