Was it a long drawn out process, or a relatively quick one? Did the parents arrange the marriage, or did a male simply choose a female in the village of the same serf/peasant status, say "I want you" ask the father/guardian, and that was that?
And were the ceremonies extravagant, or relatively small affairs?
When and where do you want to know about? The medieval era is pretty long, and encompasses...well, everywhere.
Courtship is highly dependent on culture, so some specificity will help us answer you.