In general, you can't get any useful information by trying to test for
connectivity/resistance over a solid state device. Among other things
you normally won't get any output unless the device is powered, and
you can't test connectivity/resistance while it's powered. The output
in this case is probably also a fixed voltage over a varying wave
pattern, Who knows what that will look like to a solid-state volt
meter...

You would need at least an oscilloscope and an ohmmeter to test it
conclusively. If you had a working one to compare it to, you could
probably get a good idea with a non-solid-state voltmeter and a known
good incandescent bulb.