In the U.S., minors are not allowed to enter into contracts, which means that they cannot directly purchase stock. Instead, stock is contained in a Uniform Transfer to Minors Act (UTMA) account, which means that the minor owns the stock, but it is under the control of a guardian until the child reaches the age of majority. There are state laws in each state (which can vary slightly) that protect the child's interests until they reach the age of majority. The actual age is different in different states, and is between 18-25.
Because you are not in a state, UTMA does not directly apply to you, but the laws in your locality apply. Assuming that 18 is the correct age in your country, I think you'll need to contact Computershare and get yourself removed as the guardian on the account. It probably won't happen automatically, because they don't have a good way of knowing when an individual has reached the appropriate age.