There are no written laws that restrict women from driving. Rather, the ban is rooted in conservative traditions and religious views that hold giving freedom of movement to women would make them vulnerable to sins.
What happens if a man violates a traffic law? The maximum penalty is a fine. If a woman violates this ban, though, the penalty is to be whipped. Shaima Jastaina was found guilty of "driving without permission" (which, again, is not a crime, but a religious ban), and has been sentenced to 10 lashes with a whip. The story is reported in the Guardian.
