Ashley,
If this is a blank GeoEvent installation, you could stop the GeoEvent Windows Service and clear out the contents of the C:\ProgramData\Esri\ directory. This contains the Zookeeper configuration files, and can have an effect on system performance at times.While the Windows Service is down, you could also clear out the contents of the C:\Program Files\ArcGIS\Server\GeoEvent\data directory. This contains the unpacked components that are responsible for running GeoEvent. It's possible that one of them did not get unpacked correctly. Keep in mind that deleting the Zookeeper directory will delete any services you've created inside of GeoEvent Manager.
After you've done this (if you can), start the GeoEvent Windows Service again and pay attention to the ArcGISGeoEvent.exe and java.exe processes. If GeoEvent is installed correctly, they should consume about 1MB and 500MB of system RAM respectively.
-Chris