There could be as many ways to do golf league scoring as there are golf leagues. But generally speaking, golf league scoring methods fall into one or more of these categories:
Many leagues combine both individual play and team play for their golf league scoring.
Some leagues earn different number of points depending on net score on a hole (Stableford). Players might earn a point for a par, 2 points for a birdie, etc. Each league can determine what the earned points would be. Some award points to the best ball on the team for each hole. Other leagues use Stableford scoring for a "dogfight" or what others call a quota point league. Others call the quota a "target score."
Some leagues award points for each player beaten and/or tied. Still others award points based on your finish amongst all players. First place receives x points, second player y points, etc. Typically this is based on net score.
Some league award points for showing up.
These are just a few of the ways of setting up golf league scoring. You can have any number of permutations and combinations of these ways of awarding points.
Please see the variety ways of scoring a golf league available to your league.