You don't need to report. You will report just when you sell the stock or a part of it. Keep your T5008s though, as you will need them to calculate your cost base when you sell.
No. The Canada Revenue Agency (CRA) does not tax gifts. Gifts, along with lottery winnings, most inheritances, and life insurance payments, fall firmly on the list of items that are not taxed. However, as a giver, you may face some tax obligations.