Hello I live in New York City and I recently received a pink summons. What can I expect?

The piece of paper says my offense if tresping, basically I was at the park hanging out with my friends and I was not drinking or smoking. We got bored and decided to leave, as we were walking out of the park front entrance an undercover cop car with 2 officers in uniform inside had stopped a group of about 5 kids. Immediately they called me and my friends over to the car. An officer stepped out and took my school id. (I am 16 btw) After a few minutes i was given a summons and I left with my friends to go home. This all happened at around 10. I just want to know what will happen when i go to court and will I have to pay the fine? Will my charges get dropped and do I just have to report to the courthouse on the date specified on the summons or can I show up at any time before? Also will my parents be notified at all by mail or by a phone call?