Yes , I can also remember being at one.
(loosely though only) and the school doctors(from the education office of that district)
assess a child on its ability levels, like coordination, language level(speaking), behaviour, concentration, visual and acustic perception, etc.
They also get in the opinions of the kindergarten staff, and the doctors U9 assessment(the U (for Untersuchung) is a series of doctor checkups from newborn till 6 years old.