As JAE said, you are covered as an employee not individually...usually. I suppose it's possible your company insures its engineers individually and then reimburses them for it but I would think this is highly unlikely and I personally have never heard of it being structured that way.
Of course, this also means that any work you do outside of your company will probably be on your own risk so be carefull when considering those side jobs (and they will come up at some point).
Congratulations on getting the PE.
PE, SE
Eastern United States
"If a builder builds a house for someone, and does not construct it properly, and the house which he built falls in and kills its owner, then that builder shall be put to death!"
~Code of Hammurabi