The Winter Bash has inspired me to try out the Stack Exchange app for Android phones. I can see there are pull-out panes on the left and right for site navigation and notifications, respectively; on the top are achievements, search and new question. Is there a way to access review queues as well?
No. The review queues are only available from the full site. The mobile site is not optimized for the review queues and the mobile apps both rely on the API which does not [currently] allow access to the review queues.