Yes, my cousin is admitted to the same university. As a cousin and senior, you should take good care of him. After all, the elders have asked you to do it. Do your duty as a brother. When he moves to the dormitory after entering school, you can help him settle down. New students usually have a period of discomfort and miss home.
When my cousin has a birthday, the birthday gift can be something related to his university studies, such as a pen, an MP3 for learning English, or some personalized gifts that can be placed in the dormitory. It can be a hand-made doll of his favorite anime character, or a cartoon version of a real-life doll made with a photo of my cousin.
You can look for more gifts online. Choose a small crystal product, write a welcome and other words on it, and it will be very good to put it in his dormitory. In addition, you can also give him a DIY alarm clock, made into the shape he likes. Haha, as a brother, you should also be more careful. I hope it helps.