National Museum of Saudi Arabia is just one of the attractions in Downtown Riyadh, Riyadh so you might want to stop by during your trip. If you want to experience more of the culture Riyadh has to offer, head to Al Watan Park, Al Batha Market, and Ministry of Interior.
You can spend an afternoon browsing the exhibits at Al Murabba Historical Palace in Riyadh. You can enjoy the restaurants while in the area.