Logan, yup, just show up when you can make it. Overall points are tracked and the top 10 or so in points get a payout at the end. Its tough to get top 10 if you miss too many weeks, but the number of weeks you play is up to you.
Last year we had anywhere from 20-38 people every week.
I'm sure by the time league rolls around you will have met quite a few people. Introduce yourself if you see anyone out on a course.