Your clinical sites are places where you can "look around" in the various areas of nursing to see what type of nursing attracts you and what you don't like. The clinical sites are also potential employers. Many student apply for a nursing internship/externship in the summer between the junior and senior years at a place of interest, often staying on as PCAs or aides on a part-time basis in order to keep a foot in the door (you certainly don't have to if you don't want to).
Eventually you apply for a job as a nurse at wherever you chose (and you may very well apply at more than one institution). You will need a "perfect" resume, that is - one that has no spelling
errors and is in appropriate form (my school had an entire class on this and handing in our first resume with cover letter was a written and graded assignment). You should get a call for an interview (and there are also rules for appropriate dress, etc in interviews). The time frame is usually within two weeks (though it could be a bit longer). After that, it's a wait for a phone call or letter time. That could be very short (I've heard of some with only a few hours wait), or it could be several weeks. In these times, it's not usual to be declined for an applied position unless you applied for a position for which you are not qualified. It just doesn't usually happen.
Anyways, there are exceptions. The position I accepted I went through the above process and am now working as an RN. However, when I was in my last semester of nursing school, I had the floor manager of the floor where I was doing clinicals come up and ask me if I had a job yet, and if not, would I be interested? Even so, I still would have had to put in a formal application with Human Resources if I had accepted.
I notice you are from Florida, you will not have a difficult time at all. You will learn what you need to know about how to go about getting a job while you are still in school, and you will have classmates in the same boat as you. It's not something to worry about at this point, just focus on getting through the program and the rest will fall into place. Good luck.