Yes! That is a window regulator. Be sure to do a search on how to replace it. There is one torx screw(with an allen hex on the other side) that is left hand threads and it is VERY difficult to remove.
RealOEM.com shows the driver's reg as part
#51337165595
http://realoem.com/bmw/showparts.do?...74&hg=51&fg=10