Coming in a day after Google posted the latest Android 4.4.4 factory image, the Nexus 7 LTE is now seeing a small OTA update to bring the latest software as well. The update, which comes in at just 2.4MB, brings your tablet from 4.4.3 to 4.4.4 with very minor under-the-hood fixes.
If you're jumping for joy to get the latest update you can download the factory image and do it that way, but you should be fine just waiting for the OTA to hit your device. Just be on the lookout now.
More: Nexus 7 (2013) forums; Thanks, Chris!