If you want to get a taste of glamorous Hollywood Hills homes and great views of the city, the Mulholland Drive scenic drive can be a great experience. Be aware that some stretches of road are very windy/curvy, so drive safely.
One of the best highlights of the tour is the Hollywood Bowl Overlook, which is best accessed when traveling from West to East. It will be easy to stop at that point since it will be on the same side of the road you are driving on.
Click here to visit LA Tourist for additional tips on where to access Mulholland, and a full Mulholland Drive scenic route map.