Will I get notifications that are from my paired device on ZenWatch?
Yes. When a notification shows on your phone, it will also be shown simultaneously on your ZenWatch.
Two ways to block notifications from certain apps on ZenWatch:
1. Access Gear icon > Block app notifications in Android Wear app.
2. When a notificatio shows on ZenWatch, slide the screen from right to left for several times and you will see a "Block app" reminder.
To know more details about how to block apps, please refer to: https://www.asus.com/support/FAQ/1010149/
For other detailed information, please refer to Google website: https://support.google.com/androidwear/answer/6056843?hl=en