HI Sara, Loving the couch!

Very nice room with many windows so loads of things could work, and they could work well. Are you interested in making the room feel lighter or darker? And if you're considering curtains, are you wanting to get rid of the blinds currently?

For a fresh feel, then Organin Linen is a lovely option, floor to ceiling. Its light weight and if you pick a lighter colour that would match the couch then I think it could look really nice.

White linen sheers or a lightweight fabric for the drapes. It feels a little dark, and this would help brighten it up. Good luck!

Love the shutters.

Invest in some recessed can lights to brighten the room. I love the shutters and there is no need to really add drapery. Soften the room with pops of color on the sofa to offset the brown. I lighter color area rug will help gift some contrast as well if you have tile or wood (I can't tell). Orange, yellow, or cream maybe? Good luck! If the walls have not been painted recently, I like the idea of a lighter color (Ivory or cream) to contrast with the brown sofa too.

Looks like a large room. Consider floating the sofa away from the walls or shutters.