Update,
After doing a little web research, and finding some great info pages from Randy Fromm, I believe that filter capacitor next to the HOT, may be bad. I don't hear a hight pitched whine indicating that the horizontal is working, and the FAQ I read said that on a G07, if the filter cap goes bad, there is a circuit that shuts down the HOT as an XRAY safety measure.
When the monitor is on, I can hear a very faint "click" sound about once a second. I can also see the layers of dust "jump" a little on the HV transformer.
Ken Layton, does this sound about right?
-PMF