Samsung has released an update for the Gear Manager app in Samsung Apps recently. After this update, Galaxy Gear can now shows notifications from any app on your connected Galaxy device and these are full notifications. So, no need to pick up your Note 3 or any other connected Galaxy smartphone to look for notifications.
This app update only works after your Galaxy Gear is updated with V700XXUAMK7 software build, which recently started rolling out gradually to Gear devices around the world. Once your Galaxy Gear is updated to the previously mentioned software build, you can grab the updated Gear Manager version from Samsung Apps and start enjoying full and all notifications on your wrist. You can even white-list apps from which you only want to receive notifications on your Galaxy Gear.