Women absolutely do feel more social pressure to get married and have children. Until as recently as my parents' generation, the only socially acceptable option available to women was to get married, have children, and give up any hope of a career in order to stay home with said children.
My mother-in-law was told flat out by her parents, "The only reason we are sending you to college is to meet and marry a future doctor."
I never faced the pressure myself. As it happened, I met my husband at college, and we were engaged before I graduated. In fact, my father was opposed to my engagement.
But I've seen the pressure put to many of my female friends, "When are you going to get maaaaaaaarrrrrrrried?? When are you going to settle down and have a baaaaabyyyyy??" People don't ask that of my male friends.