Nursing jobs for new grad

Hello, I will be graduating from my bsn shortly. I don’t want to do a residency program, but it seems like every major hospital in my area hires for these positions. All other job postings say 1 to 2 years experience. Do I just apply to these postings anyways? A lot of my classmates already have jobs lined up and when I apply I hear nothing back or am rejected. Just wondering what I should be doing differently?