Cannot recommend the Glock match. That is organizationally the most poorly run match around, and I've been to quite a few.
If you still decide to go, anticipate spending an entire day at the range (even if you get there by 9 and are signed up in advance) for what will likely be about 120 seconds of trigger time.
Myself and several other people who squadded up together got rudely mistreated this last year. I wrote a written letter (they don't have any electronic means for giving comments) and they didn't even have the courtesy to respond with a form letter, let alone any meaningful correspondence.
Don't get me wrong, I love Glocks, I feel they're a great firearm, but the GSSF is a disaster. I realize that they gear that match more towards people who only shoot their local Glock match and that's it, but for competitive shooters the frustration of seeing poor match management compared to what any other league runs (IDPA, IPSC, etc) isn't worth it.
ETA: I second the IPSC/USPSA recommendation. Don't forget to add IDPA to your list. It's a little more friendly to people who are comfortable around handguns but new to competitive shooting (IPSC/USPSA is a little more geared towards experienced action pistol shooters).