Apparently we'd get an oblique view of the Milky way spanning about 36º of the sky. Although for an observer on a planet in the LMC, the milky way would be a northern hemisphere object.
from wikipedia:
"From a viewpoint in the LMC, the Milky Way would be a spectacular sight. The galaxy's total apparent magnitude would be -2.0—over 14 times brighter than the LMC appears to us on Earth—and it would span about 36° across the sky, which is the width of over 70 full moons. Furthermore, because of the LMC's high galactic latitude, an observer there would get an oblique view of the entire galaxy, free from the interference of interstellar dust which makes studying in the Milky Way's plane difficult from Earth.[18] The Small Magellanic Cloud would be about magnitude 0.6, substantially brighter than the LMC appears to us."
http://en.wikipedia.org/wiki/Large_Magellanic_Cloud