I got married and became sexually active in July. It took me until September to get pregnant, and we tried everyday. I lost that pregnancy however, and multiple miscarriages after. It took me four years to have my sweet little boy because I didn't give up. I have endometriosis so it makes it harder. But, yes, you can get pregnant your first cycle! Statistics shows you have a 15 to 20% chance of getting pregnant each month if you have sex around ovulation. If you aren't sure when you ovulate, if you have a 28 day cycle... count fourteen days after that, and that's when you should ovulate. Have sex days before that. If you wait until the day you ovulate then you can miss getting pregnant that month! If you want to know for sure when you ovulate, get ovulation tests. They're next to pregnancy tests in drugstores. It will tell you for sure.
It's possible to get pregnant anytime you have unprotected sex, so good luck! I hope you get pregnant very soon. Congratulations on trying for a baby! They're the biggest blessing in the whole world.