Either could be correct depending on the context.
What happens now? (What happens next?) - This refers to the performance. Simple present to describe scheduled future events or, in the case of a play, opera, etc., it could be the historic present tense for narration.
What is happening now? - This could refer to what is happening in the theater itself, not on stage. What is the audience doing? Are the people staying in their seats or going to the bar for drinks? Perhaps they are just standing up to stretch a bit.