Now this is one of my favorite musicals, and I don't even watch musicals. Thankfully you can watch it on YouTube so I'll put the link here
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Now act 1 opens with a introduction before Jafar, who is a good guy in this, walks into the village for the best parody of bonjour I've ever heard. I'm not giving away the jokes that way you can experience them yourselves. Then we find out a thief, Aladdin, the villain in this, has been running rampant. He even insulted the visiting prince. Now it turns out the prince is going to meet the princess for dinner. However, he princess is known to sic a bengal tiger on visiting suitors. Afraid Jafar runs back to the castle letting Aladdin stroll into the scene. He's a horrible human being who steals only because he doesn't want to work. Back at the palace the prince is very angry at what just happened to him and now his kingdom is going to prepare for war. After this we get some backstory on Jafar and he remembers the story of the tiger head cave. He gets a citizen to find the other half of the medallion needed to get in and tasks Aladdin with getting the lamp tellling him he can keep the rest of the treasure as long as Jafar gets the lamp. However Aladdin wants to impress the princess after meeting her. So he accepts. Then Jafar the princess and Aladdin sing about their disires and that is the end of act 1. Please do watch the actual show. There are plenty of jokes to keep you entertained.