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This event is as much a race as it is a sight-seeing tour of the beautiful areas surrounding Nanao Bay and Notojima. Taking place in March, the weather is perfect for a run. Courses range from 5km to the full marathon, and non-participants are welcome to enjoy the DIY grilled oysters and other food booths. Note: be sure to sign up early (in October) for this event.
石川県能登島ガラス美術館
This museum is the only public specialized glass art museum in Japan. It displays some unique glass sculptures based on original ideas from artists such as Picasso and Chagall. It also has some interesting sculptures and a section devoted to old liquor bottles once used in Japan. If that wasn't quirky enough, the building looks like a ship straight out of Star Wars.
石川県七尾美術館
Nanao was the birthplace of Tohaku Hasegawa (長谷川等伯), who was a well known Japanese master painter. They have annual exhibitions related to his works. You can also see many local artists' works there. Worth checking out if you have some free time.
七尾城山
Contrary to the name, this area contains very little in the way of castle ruins, offering just a small section of stone wall that was once used to fortify the small castle. The reason to go is not for the (non-existent) castle, but for the best view of Nanao and its bay. The small park at the top is peaceful, and the view is gorgeous. The best time to go is in spring on a clear day.