You would only get pregnant if you're having unprotected sex around the days you're ovulating. If you're periods are regular and always come around the same time, you can normally assume you're ovulating around the same time as well.
In the assumption that you had a 28 day cycle you would be most fertile from May 5th-May 10th.
Yes, you can get pregnant at any time of the month, whether you just had a period, are on your period, or are about to get it.