Transitioning to a career from college causes anxiety regardless of the degree. I really think that it is compounded for nursing because you are acutely aware that how well you do your job directly can affect the health of someone else. The person that is your best friend in the months following graduation and transitioning into nursing is your preceptor. If you already have a job, great, find out about your preceptor and take advantage of any "field trip" opportunities that your hospital provides.
If you do not yet have a job, include questions in your interview about the orientation program of the hospital. How long does it last? How many classes will be offered in addition to preceptorship? When an interview is scheduled, most new graduates concentrate on what their own responses will be to the questions, and that is important. However, just as important are preparing your own questions about the job (hours, work environment, staffing ratios) and the preparation for that job. As a new graduate you want to work for a facility that is interested in your success, not just your license.