If your trip to Malibu is all locked in but your itinerary is looking a little empty, we can give you a few hints and tips.Pepperdine University is a must-see attraction in this fascinating city. Pop in and see what makes it so alluring.Not too far from the city center, Malibu Lagoon State Beach is one attraction to consider adding to your must-see list. Malibu Pier and Serra Retreat are also a stone's throw away and worth a detour.