Friar Lawrence is a good listener, Lord Capulet is not. He is dissociative and distant from his own daughter. Contrastingly, Friar Lawrence takes time over both Romeo first, and then Juliet. He is mildly tolerant of Romeo's outburst of self-pity about his unrequited love, listening to the young lad finish what he's got to say before offering any answer or advice. Contrast this with the way Lord Capulet interrrupts Juliet and shouts her down before she has expressed her issues and concerns over marrying Paris. Capulet is impatient and has anger management issues - the friar is more sanguine, more placid and therefore is a better listener. The irony is that this character trait doesn't help the sweethearts - the Friar calls it wrong.
There is a good analysis of Lord Capulet's character here on eNotes. There are several ways you can contrast him with Friar Lawrence. For one thing, Capulet is somewhat impulsive. In the beginning of the play, he acts in an undignified way by trying to join in the fracas between the warring Montagues and Capulets. Also, he is really obtuse! He is very out of tune with what is going on with Juliet and continually fails to understand the real reason behind the emotions she is experiencing. He cares more about himself and his image than his daughter's happiness.
Friar Lawrence, on the other hand, is wise and empathetic. He gives good advice to Romeo and Juliet, even though his plan backfires. His intentions were noble. You can read more about his character at the link below as well.