I was a nurse manager who hired new grads and was part of a new grad orientation program at a large teaching hospital. Here's some of the things you should do:
Concentrate on your nursing studies and try to get the best grades you can. It will all be for nothing if you don't pass your state board exam. I'm sure your nursing instructors will be telling you this 10 times a day.
Our nurse recruiter hired new grads who got very favorable recommendations from one or two of their nursing instructors, so start sucking up (I'm just kidding on the sucking up part). What you do want to do is make sure at least one of your instructors is going to be able to say that you have a positive attitude, had a good attendance record, worked past your fear of doing new procedures, volunteered for new experiences, have a lot of common sense, are very careful to do nursing procedures correctly, are honest and open, are pleasant and relate well to patients and take criticism well (this is a biggy! since new grads have to take a lot of criticism). Now, the wild card and inside information you definitely want to be aware of in all this was that our nurse recruiter knew who most of the instructors were at all the nearby nursing schools. Even though a student might have listed the name of a particular instructor, this nurse recruiter would ask for another instructor at the school to get the low down on students. She would also call around to the instructors with whom she had a pretty good relationship and ask who were likely candidates for her to hire! She would then encourage the instructors to have those particular students come over and fill out applications. This is how networking can work for you. Hospitals know that new grads need a lot more practice in doing procedures, so don't fret over only getting a chance to put in one or two foley catheters during your student years. When you go looking for your first nursing job, you will be starting with a clean slate with relation to your work history. They may want to verify the dates you worked for a former employer to see if you are truthful, but, really, what your nursing instructors will have to tell them about you and how you come out of an interview is what will nail a job for you. Start looking for a job about 2 to 3 months before your date of graduation. Many hospitals do not advertise their open nursing positions in the newspapers, except for, perhaps, the Sunday edition. Call a hospital you are interested in working in and ask to talk to their nurse recruiter. Most of the recruiters are very friendly and will exchange information with you about job seeking if you ask them. So, when your time comes to go to an interview with one of these people and a job prospect starts to sound like it's not gonna happen, ask the recruiter for suggestions as to where a new grad should look for work, or what kind of experience would she prefer to see you have so you could be hired to work in one of their nursing units. And, finally, don't put all your eggs in one basket. Apply to a bunch of hospitals, you never know which one is going to come through with a job offer. You should have a job ready to go to by graduation. After graduation all the open positions for new grads will have already been filled by the local hospitals. For now, concentrate on learning your nursing and worry about getting your first RN job later as you approach graduation. Good luck.
P.S. Something I just thought of was that as you go through your clinical experiences try to engage some of the more friendlier and open staff nurses in conversation about how new grads are treated in their hospital without sounding like you're desparate for a job. That can help you figure out if there are some hospitals where new grads are treated poorly (read some of the posts in the First Year In Nursing forum). Ask them if XYZ hospital is a nice place to work. Don't depend on comments from only one person either. And, watch. Watch, when you can what is going on in the interactions of the staff nurses on the units where you are doing your clinicals. Be on the lookout for people treating their co-workers badly. You'll want to steer clear of those units for a potential job.