my area hires those who graduated from nursing school and are pending nclex + licensure. you can either work while preparing for the nclex or have the job offer and choose to not to start working until you have passed the nclex. the choice is yours. however, if you choose to start working, there is a time limit given to you by the employer to pass the nclex and have a license. i choose to work and study for the nclex because it was best for my circumstances. however, a few others did the same did not pass her nclex and are out of a job... this happens to some but not everyone!
btw, in my area nursing students getting ready to graduate apply for rn positions. once you apply hr sees that you are not licensed and will give you a nurse extern title when hired. therefore, be sure you know what is best for you and how your area (or the particular hospital) works. gl!
fyi... employer websites do not mean anything!!! an employer will post job openings and have no real jobs available. the postings can be representative of anticipation of an opening in the future or a way for hr to continue to get applicants just in case there is a need for a particular department. so stop looking at openings and talk to hiring managers (they are not hr reps) to find out the true need.