That's a loaded question that can depend on a great many things - location, level, your expectations, amount of leagues in your area, amount of officials in your area, etc.
Where I come from you can do a lot of Rec Ball and lower level school league games (7th and 8th grade) to see a lot of plays and get a lot of experience under your belt. But, I live in a very populated area with a great many leagues. If you live in a smaller, more rural area, you may have to go farther and your opportunities may be more limited. I've averaged about 100 games a yr (non-varsity for the most part) and I started my first yr with 50 Rec games.
Do you know an assignor or senior official? That can certainly help.
Good luck.