it's very difficult to apply for a full prize. However, you can work half a month after the start of school, and there are subsidies for participating in the teaching and research activities of our school (such as taking undergraduates).
stay after graduation: it's easy. If you study for a PhD, you can almost apply for immigration if you get a diploma. At least you can apply for a three-year work visa unconditionally after graduation. But the policy is changing, so we must make a long-term plan to find a job, because skilled immigrants are always open, and there must be no harm in accumulating work experience.