It sounds like you're trying to link directly to a globe file, which would be a .glb file. That's not a file format supported by QGIS (at least it's not mentioned on the QGIS "supported data" page).
QGIS does support WMS layers, and Google Earth Enterprise is capable of providing WMS layers. QGIS is even mentioned in the GEE documentation as a "supported client."
GEE Server supports the OpenGIS Web Map Service Interface Standard (WMS), which provides a standard HTTP interface to request map images from one or more published geospatial databases. One of the benefits of using the WMS standard is that supported clients can request images from multiple WMS servers and then combine those mapping images into a single view. Because the WMS standard is used to fetch the images, they can easily be overlaid on one another. Supported clients include QGIS, ArcGIS/ArcGIS Explorer Desktop, and Google Earth Pro/EC
-source: Google Earth Enterprise Documentation: Overview
However, GEE doesn't provide WMS support by default. You have to set it up. Here are instructions for setting up WMS support in a GEE database:
Setting up Google Earth Enterprise Server 5.x Support for WMS To
enable WMS for a database that you want to publish:
- In the GEE Server Admin console, click Databases.
- Check the box next to the database you want to publish.
- Next to Serve WMS, select On.
- Click Publish.
Publishing a 2D Fusion or 2D portable database with Serve WMS turned on publishes both to GEE Server and WMS; it's not necessary to publish twice.
Databases that have WMS enabled are identified as such with a WMS
label in the description.