First off, I want to say I'll never discourage anyone to follow their dreams. Sometimes you just have to do what you have to do!!
As other's have said $1000 in LA is not much especially since we are going through another crazy real estate bubble. For $1000/mo plan on roommates or if you're very lucky a studio apartment without air conditioning.
Also as others have said, unfortunately the industry jobs and Disneyland are on opposite side's of the world in LA. Most of the industry jobs are going to be west or northwest of downtown LA. This means you are going to have to drive through or around Los Angeles everyday, just like 7 million other people
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. On a good day 15 miles in LA = 45 minute drive. 30 miles = an hour and a half. I've had hour long commutes before, but they were relaxing and audio book friendly. In LA I can't listen to audio books because I can't hear them over my own voice cussing out other drivers
Much of the area immediately around the resort isn't great. I like downtown Fullerton north of Anaheim, but it is very urban. Expect homeless people on the corner. If you want nice in LA, stay close to the ocean. It's going to mean much higher rents and much longer commutes, though.
If you really want to be in the industry, I'd recommend the edges of Santa Monica or Hollywood. You'll be fighting with every other person in the industry for an apartment though, so expect to spend some time looking. I live in Long Beach and love it, but I think it would be the worst of both worlds for you if Disney and production are your priorities. It's still about 40 minutes door-to-door to Disney even though I can hear their fireworks, and at least an hour (on a good day) for most of the studios.
Hope this helps. Good luck, and never get discouraged!!!