It is not the same thing. An anembryonic gestation is a gestation in which the gestational sac, the placenta, is produced, but the embryo does not develop. This type of pregnancy is usually diagnosed at 6-7 weeks gestation. Sometimes anembryonic pregnancies are manifested by bleeding, but the vast majority do not show symptoms, and are diagnosed at the time of the first trimester ultrasound.
It is at this ultrasound moment that a gestational sac, a trophoblast, is found, but no embryo is identified. Treatment is usually pharmacological or surgical curettage.
On the other hand, molar disease is a tumor of the placenta. In this type of gestation the embryo is also not identified and there is uncontrolled growth of the placenta. The symptoms are usually bleeding, in some cases expulsion through the vagina of molar tissue (grape clusters), and by very important symptoms of nausea or vomiting, because the pregnancy hormone rises disproportionately.