A healthy one-year old will consume about two cups (one pint) of milk each day, provided that s/he is eating a balanced diet otherwise. Your pediatrician should have the last word on this matter, though.
A 12-month old should get 2 servings of milk each day. Baby will get the recommended amount for proper nutrition, but will not be too full to eat meals.
Yes, I remembered. When my son was one year old I used to give him milk three times a day. He used to drink with a sippy cup, probably that holds 8-10 OZ I guess. He used to have juice or yogurt.