During Lucy's first appointment at the clinic, Dr Hindle tells her that her problem with getting pregnant is due to low HCG levels. HCG is a hormone that is only produced when an embryo is forming i.e. pregnancy. It would not be present in Lucy at all.
It's not clear how many weeks along Lucy is at that first ultrasound, but she's not even showing, so it can't be more than 12 or 13 weeks. Yet the fetuses shown on that ultrasound are more like 20-24 weeks gestation. Which explains why the doctor is able to determine which is male and female -- a task that's impossible at 12-13 weeks. Ultrasounds aren't even usually performed before 20 weeks or so, because of the need to have few interventions as possible.