I've encountered several bears so far (cave, regular, and cubs), and they all seem to like standing for extended periods of time. The animation loop consists of the bear standing for five-ten seconds, briefly lowering down on all fours to catch his breath, and returning to upright position after about two seconds.
I've seen bears stand on the strategic map and on the unit detail screen (below).

I, for one, welcome out new ursine overlords.