The LG G Watch R will be gaining Wi-Fi functionality thanks to the recently-announced Android Wear update. With this, the watch will be able to communicate with your phone, even when the two don't have a direct Bluetooth connection. Wi-Fi functionality was enabled on many watches in the previous Android Wear update, but it is only just now coming to the G Watch R.
Unfortunately, the watch will need to receive the latest update in order to enable the Wi-Fi support, which Google said will be rolling out over the course of the next few weeks. Be sure to keep your eye out for an update, and let us know when you receive it.
Source: Android Developers