Apply for jobs that require 1-2 years experience. Some places will account for your university experience as 1-2 years work experience. Others prefer some experience, but will hire the right candidate regardless of experience. Some only will take experienced employees and won't bother to even view your resume. So there's 3 types and 2 can work in your favor. Those are good odds.
I sent out close to 50 resumes. Many of the jobs I was qualified for - a few overqualified. I got 4 interviews. 3 were in my field and 1 had absolutely nothing to do with anything I've ever done before.
As far as how to apply, you need to write a good resume and cover letter. If you need help, I would google your nearest newcomer centre and see if they have career training.