You need to purchase a small 1/4" or 3/16" hand snake from Home Depot and disassemble the trap and if possible remove the trap arm so that you know that the snake goes down the drain instead of up the vent. Also run the plastic barbed cleaner down the over flow to be sure it is clear. The other thing you might check is the vent through the roof to make sure it is not blocked from bird poo or possibly even a nest that would prevent the air from entering the vent. That would cause bubbling too. You have received good advice above and as always, hair is the most frequent culprit in these smaller drains in the bathroom. Good luck