Are jobs for graduates scarce everywhere or just in hospitals??

What about in physicians' offices and in outpatient care centers, such as freestanding ambulatory surgical and emergency centers ?
Yes. They are scarce everywhere, except in specific needs areas. Our facility (LTC) hired new grads because experienced nurses avoided 2nd shift like poison. 1st shift usually always goes to the more senior nurses. Other facilities can pick and choose in this job market. There are lots of threads in the archives here addressing the job market. The doctor's offices rarely ever need a new employee. The outpatient centers seem to hire on insider referrals around here. Ambulatory Surgery and emergency centers want experience. That about sums it up for east TN.

Everywhere.

I would say that the job market depends upon where you are regionally. There are hospital jobs in lower desirability areas where very few people would want to live, such as the border towns along the Texas/Mexico border. Some rural areas also have job availability, while the urban areas are becoming saturated with too many nurses and not enough jobs to go around.