Traffic on Sunday should be much lighter than weekdays. Not really sure what you are interested in, but I'll give you a driving tour that includes places you ,may or may not want to follow.
Since you mentioned Hollywood, I'll start with
Hollywood & Highland. It's a mixed use complex with shops/restaurants/hotel and a movie theatre. Across the street sits the Disney owned
El Capitan movie theatre and the
Disney Soda fountain. Many people are disappointed with Hollywood Blvd since it's far from glamorous. However, it is very safe and if you go know what to expect, you will have a nice time. The neighbor is currently changing and is in much better shape and a decade ago.
From there you can drive west on Hollywood Blvd to Fairfax Ave where you will turn left. Then you will make a right turn on Sunset Blvd. From here, you can take Sunset all the way to the beach.
During your drive on Sunset, you will pass the Sunset Strip where all the famous clubs are (The Roxy, Viper Room, etc). There also a section called
Sunset Plaza that has a european feel to it with designer boutiques and outdoor cafes. Once you past Doheny, you are now in Beverly Hills.
This is the residential area of Sunset Blvd filled with mansions, one bigger than the other. It's also here that you will find the famous Beverly Hills Hotel. As you driver further west, the street get windier, so be careful. After Beverly Hills, you will pass the community of Bel Aire and also the UCLA campus to the south.
Once you cross the 405 Fwy, you are in Brentwood. Looming high above the 405 is the
Getty Center. After Brentwood is Pacific Palisade, home to Steven Spielberg and others. The Sunset dead ends on PCH.
If you turn right on PCH, you will be traveling north to Malibu. Not much to do there (IMO), except for the
Getty Villa and a few nice restaurants.
If you turn left, you will be heading south to Santa Monica. Santa Monica is famous for its pier and the huge number of homeless people. But don't worry, they are not really aggressive and usually leave you along. The main shopping area is about 3 blocks from the beach called
Third Street Promenade. The street is closed off to traffic and is filled with shop/cafes/street performers.
Santa Monica also runs a shuttle service called "
the Tide". For only 25 cent, it will take you to the
Venice Board Walk,
Main Street (another shopping/dining area, but more of a local flavor), and back.
From Santa Monica, you can take Santa Monica Blvd and go east. Once you past the 405 fwy, you will be entering Century City. This used to be the 20th Century Fox back lot. Now, it's filled with office building, hotels, condos, and an outdoor mall.
At the intersection of Wilshire & Santa Monica sits the Beverly Hilton, home to the Golden Globe awards. If you continue east on Santa Monica, you will enter boys town, which is a gay area of LA.
If you turn right on Wilshire, you will be in the main shopping area of Beverly Hills. The famous rodeo drive will be on your left.
Heading east on Wilshire, you will come to Fairfax Avenue again.
If you chose to continue on Wilshire, you will pass Museum Row (consisting of LACMA, Peterson Automotive Museum, A+D, to name a few), Koreatown, McAuthur Park, and the street ends in downtown LA which has a few interesting places of its own (Olvera Street, Chinatown, Little Tokyo, Disney Concert Hall).
You can also turn left on Fairfax, this will take you to the old Jewish area of LA. Here, you will find kosher delis, ect. Also you will also find the famous LA
Farmers Market & the
Grove (an outdoor mall that remains me a bit of Main St USA).
Heading further north on Fairfax you will come to Melrose. Make a right and you are in the funky shopping district (Vintage shops). If you turn left, it shops are more high end (Marc Jacob, Oscar De La Renta).
If you take Fairfax all the way, it will dead end on Hollywood Blvd. Make a rigt turn and you will be heading back to where you started at Hollywood & Highland.