Listen to Neal .... I have seen many corners with doubled 2x4s as a shorthanded way to get a drywall nailer. If the "post" does not extend up, or if it is not holding up a header, then you can bet it is NOT a bearing wall.
BTW, I recently remodeled a house with that exact configuration (except the wall on the right was the exterior wall of the house)! We kept the corner post so we could build a laundry closet to the right ... Your old laundry area became the niche for the hot water heater.