The path into science starts with a bachelor's degree in your chosen field, such as physics, chemistry, biology or mathematics. It usually takes 4 years. Such programmes are offered, for example, at Al-Farabi Kazakh National University, L.N. Gumilyov Eurasian National University and Nazarbayev University. In later years you can join a lab and take part in real research.
After the bachelor's, students go on to a master's degree (1-2 years) and then a PhD, which in Kazakhstan takes about 3 years. Many study abroad through the Bolashak programme or with grants from foreign universities. Taking part in olympiads and school research projects is a great start.