Yes - they are auto-on, and they do turn on at night. Currently...only the driver'* side low-beam is coming on though, as described.
As a side note: I saw a posting or two about some lighting quirkiness that I have seen in my car too, if that tells you anything. Sometimes when it'* dark outside, the car is in park, and it'* idling, the lights just keep turning off and on for no apparent reason. It sounded like some people have had luck with cleaning up their grounding connections for that...not sure if there is anything else I should be looking at for it. The car has occasionally done that for as long as I've owned it though - and I've put over 100,000 miles on it in that time.