In some countries, sperm donation is anonymous and therefore, it is not possible for the sperm donor to get to know his sperm recipient. In those cases it is not even possible to get information beyond basic physical characteristic, such as hair color, height, etc.
However, there are countries in which sperm donation is not anonymous. In these cases, the link that is generated between the donor and the recipient is a question of them.
Suggested for you: Egg and Sperm Donation in Assisted Reproduction.