The Castelletto neighborhood of Genoa gets its name from a small castle that once stood on the hill. The castle was destroyed in the late 19th century, but the view from the hill remains excellent – particularly if you're at the “Spianata.”
The Spianata Castelletto – also known as the Belvedere Montaldo – offers commanding views over Genoa, including the old port, the iconic Lanterna, and the historic center of the city. The open space has benches, encouraging you to stop and enjoy the view for awhile. Don't be surprised if you see couples having wedding photos taken up there, either.
The easiest way to get to the Spianata Castelletto, if you don't want to walk all the way uphill, is by taking the public elevator from Piazza Portello. The elevator trip will cost you €0.90 one-way.