Well, I'm a lefty & I have owned & fired countless right hand bolt guns. I don't think I would care to shoot the one in the picture. Especially if it is a hard kicking caliber. It is clearly a right-handed, bolt action rifle, with a right-handed stock (notice the cheek piece is on the left side of the stock). This is set up for a right-handed shooter all the way. What makes this stock so different is the substantial amount of "cast off".
I can't be sure without seeing a side view but, this stock looks a lot like it was made by Harry Lawson.