Yes your trailer came with brakes. To see if they are electric you simply need to look at your axle backing plates. With electric brakes you should see wires coming out of the backing plate and connecting with others that extend down from the belly skin.
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"You wouldn't worry so much about what others think of you if you realized how seldom they do."
To expand on Jammers comment...If the previous owner did recent maintenance the old round magnets used on the electric brakes at the time of manufacture should have been replaced with the newer oval magnet type. When I got my trailer I did brake maintenance and made the mistake of using all original type parts and replaced two round magnets with the same kind instead of upgrading. I was being cheap and did not want to replace everything. Turned out shortly after that the the other two wheels had magnet failures while we were traveling and I had a hard time finding the old style magnets plus they were expensive. Dexter makes a complete backing plate assembly that include new everything including the magnets for just a couple of bucks more than just buying a round magnet. I replaced all four backing plates which included new shoes and the oval style magnets. The trailer brakes a lot better now and I have not had any problems since.