The term used for students who study together in the same class at a university is typically "classmate." This refers to someone who is enrolled in the same course or attends the same classes as you.
When studying certain subjects at university, such as becoming a teacher, lawyer, or medical professional, it is common to participate in practical training or internships in real-life settings. This means that, at the end of or during the academic term, students are required to gain hands-on experience by working in schools, hospitals, courts, or other relevant institutions related to their field of study. It is not necessarily about students teaching, but rather about them gaining practical experience in their chosen profession under the supervision and guidance of professionals in the respective settings.