Don't forget to log in with your Uplay account anytime after Trackmania and before the end of the main show to claim a free copy of Watch Dogs 2 on PC
Pre-show starts at 6:00 AM NZST and main show starts at 7:00 AM NZST. I don't know when does the Trackmania event happen during the event but it might be during pre-show. Post-show starts at 7:45 AM NZST so I assume you can get the game during the Trackmania event up until 7:45 AM NZST. Exact schedules for different time zones is in an image when you visit the deal link.
The show is scheduled on July 12 11:30 AM PDT which I assume is July 13 here in NZ considering the time. Let me know if this is a wrong assumption.
UPDATE 13/07/2020 Credits to: stinky111
Due to login issues during the event, ubisoft will now give away the rewards through this link which will be redeemable regardless of if you have or have not watched the event