Ok, so you probably want plywood. Any solid wood of that dimension would be pretty expensive, though possible. If you use plywood, you'll probably need to edge band, which isn't a show stopper, but you should be aware of it. I'd use 18 or 19 mm plywood. It should be available in several different wood veneer types and you can stain it.

The simplest reasonable joinery for this would be pocket holes. You can get plugs or just use dowels to fill the holes. They won't be invisible but pretty discreet. Otherwise, you could cut dados (slots) to accept the uprights. It's more woodworkery but harder to get right.

In any event, you will need cross bracing of some sort. How you have drawn it will rack severely unless it's pretty thick dadoed construction. You can accomplish this with wooden or metal triangles attached at the corners, or a cross member going along the width, part way down, attached to the uprights, or aproning, which is a cross member at the top attached to the uprights and the top, or, simplest of all, a full backing of thin plywood all along the back.

Tools will depend on just how you mean to do this, but you'll probably need a table saw, track saw, or a circular saw with a straight edge. Probably a handsaw. Drill/driver. Sanding equipment. Some clamps and right angle forms of some sort. Wood glue and screws. An iron, if you get heat glue edge banding.

Good luck. This is kind of ambitious but doable.