Looks as though the wood might be mahogany. Sand a small area on the inside of the cabinet.

It's a curio cabinet, and something like this would often house a collection of "cabinet vases." You can certainly use it for books or whatever else will fit inside. It's a pretty piece with nice proportions.

I think it's an Art Deco waterfall curio cabinet. Can't tell what kind of wood, but throwing walnut out there as another possibility.

Bookcase, Depression era, mahogany or walnut, but looks like vineer, applied wood filigree. Try it with doors opened so filigree is facing out…as in being part of the “display”.

It doesn’t have great value…maybe $250.00, but with your chair, you have styled it well.

Go ahead and paint it. It’s not a precious piece.

If you use chalk paint, you don’t have to sand and then just add a special wax finish - info below. There are a ton of colors by Annie Solan, but if you can find a color you like made by Rust oleum, it’s less expensive.

https://girlinthegarage.net/2019/11/how-to-chalk-paint-furniture-beginner-guide-chalk-painting/