To become a lawyer you need a 4-year bachelor's degree in Law (Jurisprudence) or International Law. The UNT profile pair is world history and fundamentals of law. Law is taught, for example, at Maqsut Narikbayev University, Al-Farabi Kazakh National University and L.N. Gumilyov Eurasian National University.
After grade 9 you can study law at a college for about 3 years and then continue at university. To work as a defence attorney, judge or prosecutor, after university you need an internship plus extra selection and exams. School debate clubs and law olympiads are great preparation.