The Canadian carrier Rogers has updated the firmware updates schedule on its community forum, which states that the Motorola Moto G LTE users will be getting directly Android 5.1 from Android 4.4.4 KitKat sometimes in June. The new software update will be available in form of OTA, and you should receive a notification when it will be available for your handset.
The update will bring all the feature of Android 5.1 as well as Android 5.0, including Device Protection, brand new material design UI, ART runtime, battery saver mode, new quick settings menu, important enhancements and bug fixes.
Do not panic if your phone doesn’t receive the update notification, as the OTA upgrade could take several days to reach all the users. However, you can always check it manually by heading to Settings >> About Phone >> System Updates.