A play is a dramatic work that's written to be staged in a theater and in front of an audience. Your city might offer a free Shakespeare play in the park every year.
If you take part in a game or a sport, you play it. You might love to play charades, but no one is going to want to play with you if you keep forgetting the rules. The verb play also means to make music, like when you play your ukulele. And if you toy with a concept — like forming a ukulele orchestra — you play around with the idea.