At $30 an hour, probably lower middle class, you wouldn't be able to live the middle class life that most envision, 2000 sq ft house in a nice LA neighborhood with good schools, decent car, vacation once a year, some money to go to retirement and savings, etc. That takes about $175,000 and up, much more on the Westside. However, as a single person earning $30 an hour, you'd be able to rent a nice apartment in a nice area ($1500 to $2000 nice, not luxury, one bedroom, depending on area), or buy a small condo (but probably not on the Westside). You'd have to watch your budget, but you should be able to put away money for a down payment, and emergencies.
The problem is going to be finding a job, it's very tough for new nurses in LA to find a job, and most employers that pay well seem to strongly prefer BSNs. Have you spoken to other nurses right out of school about looking for a job here? Look for some of the online nursing communities for info.
Once you have 2 to 3 years of experience, look at hospitals like UCLA, which pays well, the per diem pay is $55 an hour, career positions (clinical II and III) range from about $35 to $60, 12 hour shifts, BSN preferred (basically required because they get so many applications).