Galleria Vittorio Emanuele II is right next to Piazza del Duomo. It has a bit of high end shopping. But again, I came for the architecture. Besides, I have a great love for Dolce & Gabbana and Gucci at the moment, and I would blow my entire life savings on dresses by either of them if I were to go into their stores.
I also took a break to rest my poor feet after exploring all over town by getting this spaghetti at Il Camparino right at the entrance from the Piazza del Duomo side. It's amazing for people watching and I do love great outfits. Milan has amazing outfits.