If the sentence is “Hope her shoe’s at school”
Then it could mean the speaker hopes that the female’s shoe is at school, or the speaker could be talking to Hope and be telling Hope that the female’s shoe is at school
It should read COMPLIMENTARY ADMISSION FOR TEACHERS AND STUDENTS in other words it means that for teachers and students admission is free or "compliments of the house" as the saying goes. Complementary means on the contrary that the teachers and students complement or support each other.