I've never been pregnant, but will try to answer.
Either the hematocrit or Hb are used. They are simply different methods to check the Hb. This will also be used to help determine if iron should be taken. It usually is prescribed whether women need it or not. Blood sugar will also be checked. The tests and checkups will be the same as for any pregnant woman. Hb level normally drops during pregnancy, so don't be alarmed. This is somewhat due to a dilution effect caused by the weight gain and the fact that the fetus also requires the attention of the mother's body. If the Hb drops to 8, transfusions may be considered. However, if it is stable at this level, transfusion should be based on the physical condition of the mother. If she is coping fine, then transfusion should not be pushed. If the mom feels overtired, she should also have her vitamin D level checked.
The vitamin is OK, but I would definitely add 400 IU natural vitamin E daily and raise the folic acid. There is no real need to get doctor's approval for vitamins. The exception is vitamin E should not be used when one is taking blood thinners. This is unlikely during pregnancies.