It appears that this question was already asked over at PhysicsForums.com. Here's the posted answer that seems most credible to me, because it cites references:
BEGIN POST
"What happens if an advanced civilization is able to construct a wormhole with one end on its own planet and the other end of the wormhole below the event horizon of a black hole?Will they be able to see what is happening below the event horizon of the black hole?"
Actually, the answer to the latter question appears to be "yes". I found two sources that confirm this. Both are written by physicists.
1) "Wormhole as a device for studying a black hole's interior", by V. Frolov and I. Novikov, Physical Review D volume 48, page 1607 (1993)
Here's the abstract:
"It is shown that by using a traversable wormhole one can get information from a black hole's interior. The change of a black hole's geometry in the presence of a wormhole falling into it is analyzed. The causal structure and the properties of the event horizon of a Schwarzschild spacetime with a wormhole are considered. Information and energy extraction from the interior of a black hole by using a wormhole is discussed."
2) The Physics of Stargates: Parallel Universes, Time Travel and the Enigma of Wormhole Physics, by Enrico Rodrigo, Eridanus Press (New York) 2010
On page 33, in a question/answer section:
"Could I use a wormhole to escape from the inside of a black hole?
Yes. Classically, there appears be to nothing to prevent the existence of a wormhole that connects the inside of a black hole with the region exterior to its event horizon. However, to an observer within the horizon, the outward direction points to the past, i.e. backward in time. So escaping a black hole via a wormhole is only possible, if time travel by wormhole is possible."
END POST
I recently purchased the second reference and can confirm that it's accurately quoted.