16 yr girl, grew 1/2 inch in the last year, got period at 15, normal growth pattern(says doc) will she get taller?

Possible: She might still have some growth left. Best way to tell is to do an x ray to look at her growth plates and bone age.

Not much: The average girl will grow 2-3 inches after her first cycle. However, when the growth has slowed to a rate of 1/2 inch over a year it may indicate a real endpoint is coming soon. A single xray of the wrist/hand can be studied for growth center status.If open,more growth is possible, if closed, it's done.