We want to stay close to the ocean, or a park.
Studio City isn’t near any beach. There are parks around. There are lots of runners and running clubs around too. I’ll bet you can find tips on routes if you do a bit of Googling.
We'll have a car, but don't want to spend our vacation driving.
You picked the wrong the town.
We'd like an area that we can spend some time walking around
Haven’t you heard the song?
Nobody walks in LA.
But seriously, most neighborhoods will have shops and restaurants and whatever fairly close by for the normal day-to-day needs. Many neighborhoods are “walkable” but there’s huge variation. Sorry, I know that doesn't help much. But that's the way it is out here.
If you want to go to specific places you’ll have to plan a bit. Things can be pretty spread out. Lots of roads are best avoided during heavy commute times.
Like
SpoiledMan said, MDR is a nice place. MDR and Santa Monica are about as close to Studio City as you’re going to get and be by the beach.
MDR to Studio City
Any "must see" things that we need to do while we're in the area?
It really depends on what you’re “into.” Some people just have to stroll the Hollywood “walk of fame” or hit some theme park or movie studio. Others would rather go surfing. You can find pretty much anything around here.
PC.