ShonadarleneFraser,
It is usually recommended that you use some type of back up birth control (i.e. condoms) for about two weeks after you begin taking birth control pills.
Some women will use back up methods for the full first cycle, till they have a period. After that, you should be fine not using a backup method.
If you have any quetions about the medicine and back up birth control, you should contact the health care provider who prescribed you the Levlen.
Good luck.