I'm affected by the same bug. Tried reintalling python and python-gi. No effect.
Traceback (most recent call last): File "/usr/bin/software-properties-gtk", line 38, in <module> from softwareproperties.gtk.SoftwarePropertiesGtk import SoftwarePropertiesGtk File "/usr/lib/python2.7/dist-packages/softwareproperties/gtk/SoftwarePropertiesGtk.py", line 39, in <module> from DialogCacheOutdated import DialogCacheOutdated File "/usr/lib/python2.7/dist-packages/softwareproperties/gtk/DialogCacheOutdated.py", line 27, in <module> import aptdaemon.client File "/usr/lib/python2.7/dist-packages/aptdaemon/client.py", line 70, in <module> class MemoizedMixIn(MemoizedTransaction, GObject.GObjectMeta): File "/usr/lib/python2.7/dist-packages/gi/module.py", line 316, in __getattr__ return getattr(self._introspection_module, name) File "/usr/lib/python2.7/dist-packages/gi/module.py", line 135, in __getattr__ self.__name__, name)) AttributeError: 'gi.repository.GObject' object has no attribute 'GObjectMeta'