furniture restoration finisher here! You cannot remove the grain from any wood ever, but you can fill the grain, that dresser has been faux finished, so its hard to say if it was finished on top of a finish, and what exactiy you are trying to achieve, and its hard to say what it has been finished with just by a picture. there is glaze in the grain that is making the grain pop out dark like that, but If you dont like that, i recommend getting it painted, or use the DIY chalkpaint which is safe for most finishes on furniture. I think you might be happier with one solid color and the grain wont pop out as much. chalk paint is easy to use. and you can get it in multiple colors at homedept.