Dates are stored in their timestamp format. If you want everything that belongs to a specific month, query for the start and the end of the month.
var start = new Date(2010, 11, 1);
var end = new Date(2010, 11, 30);
db.posts.find({created_on: {$gte: start, $lt: end}});
//taken from http://cookbook.mongodb.org/patterns/date_range/