Will I be able to work for another security company after signing a non compete contract?

I work for a security company that I was unaware of the job duties which only pays me 8.35 a hour as a dedicated security officer. Apon hiring they said they would assign me as a rover making 9.00 a hour but I have not been trained for it or haven't heard anything else about it. 2-3 days after working we had new hire orientation and the teacher mentioned I can't work for competition within a year of leaving the job. I feel as though I have other opportunities and people who are willing to pay me more for my services but this will hold me back. i have been with this company for about 3 weeks and don't know much about it to tell any secrets. I don't want to lose my job at the new employer or old employer just asking about it. I need to know what to do? How will they even know I'm working with someone else??