In this scene, we are introduced to some of the royal party.  We see how they react to the storm.  We also see how they interact with the sailors.  If I had to lead discussion about this I would discuss some of these points:

• You could have people characterize his actions -- talk about how he is pushing in and bothering the sailors.
• Why do you think he acts this way?
• What do you think of the way that the king is acting in this scene?  Is he right to act this way?
• What do you think that Shakespeare is saying about monarchy in this scene?
• Looking at this scene, what are any of Alonso, Gonzalo, and Sebastian good people?