If I am having my periods regularly does that mean I can get pregnant easily?

No it doesn't make it easier, but it also doesn't make it impossible for you to fall pregnant, it all depends on your cycle and ovulation times are.

It also depends on how strong the males sperm is, as in the sperm count.

If there is any other questions I recommend that you do some research on the computer or contact your local doctor or nurse to discus any further questions with them.