Brunate
Brunate is a hilltop village above Como reached by a funicular (cheap, runs every 15-30 minutes). The village has a lighthouse viewpoint (free) with panoramic views over the lake, the Alps, and on clear days, the Milan skyline.
Church in Como
Como Cathedral (Duomo di Como) is a Gothic-Renaissance church next to the lakefront, notable for its ornate facade, tapestries inside, and the fact that the apse was designed by an architect from the Borromeo family whose palace sits on Lake Maggiore nearby. Free to enter. Budget travelers visit for free and see the last Gothic cathedral built in Italy.
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Other places worth the walk, and what each one costs.
Brunate is a hilltop village above Como reached by a funicular (cheap, runs every 15-30 minutes). The village has a lighthouse viewpoint (free) with panoramic views over the lake, the Alps, and on clear days, the Milan skyline.
The Como lakefront promenade runs along the southern tip of Lake Como with views across the lake to the mountains. Free.
Working out what Como costs?
The whole of Como