Anything worth doing in LA?

So I've had an interesting opportunity arise! I've gotten a modeling engagement in Los Angeles where they are paying for my trip. I will be out in the city next week from Monday to Friday, and I've even gotten an additional job for while I'm out there.

It's a cool chance, and obviously one I don't have come up for me often. I wish I had some idea what might be a good use of that time for a writer. It's a lovely fantasy to get discovered while I'm out there, isn't it? Just in case, I'm writing up treatments for my scripts and maybe having an elevator pitch in my back pocket for Mrs. Hawking. It's probably a pipe dream, but can't hurt to be prepared, just in case.

Does anyon have any suggestions on what's good to do or see while out there? Even if purely recreationally. I'm not sure what to do with myself during the downtime. Ideas welcome!