You may want to start out by finding smaller magazines (digital or print) that don't have big budgets. Offer to do a few events for free. I used to do a ton of stuff for free, which eventually landed me some paying gigs and then to my current position (Editor).
A lot of times we are looking for content but don't have the budget to cover an event. (There are hundreds of events but magazines may only be able to pay for 4 to 15 events.) I'm usually willing to write something if the photographer cannot, just to get the images so we can cover the event. Once you start seeing your stuff come out, then think about reaching out to larger publications. Just know that one shot, won't make you in this business. It is a lot of work and relationships.
You will need to network and push to get your name and work out. While you are "working" an event for free for a magazine, you can take additional photos and sell them to the individuals. This way, you are making some money for your time, but you are also, helping/working with the magazine.