Looks like that bar is using an artificial stone product, so no, all you need is bare wood and the proper adhesive. Check with your local home center. As I recall that stuff (stone) ain’t particularly cheap.
I did that to the front of my bar, and a photo is attached. It’s a veneer stone product, approximately 3/4 to 1 inch thick. I used stone mortar to set them and instead of plywood, I used a piece of hardy board for that area. If I recall correctly, I did have to “set back” the hardy board face about an inch or so to accomodate the thickness of the stone. I also used the stone on the lolly columns I covered in drywall.
Thanks for the info. The bar you made looks good with the stone. i also liked the column idea of adding the stone to that. i have column myself and may need to do that.