So we've just returned from a 6 night stay in this hotel and found it to be ideal for our trip. We were over for the Formula 1 GP and didn't want to stay far out of the city and so opted for this hotel - and we were not disappointed. The location of this hotel is perfect - shops and restaurants are within 100 steps and the Duomo is only a 5 minute walk away.
We stayed in room 708 and the only complaint I have is that there are no curtains in the room. There are screens over the windows but they obviously don't block out the early morning sunlight which led to us wakening up earlier than we would have liked to but it by no means ruined our stay. The bathroom was huge - 2 sinks, full wall of mirrors and a powerful shower - perfect! Breakfast buffet has something for everyone - sausages, bacon, eggs, cold meats, cheeses, fresh fruits, yogurts, pastries, teas, coffees and juices - and we did use the restaurant for lunch and dinner on a couple of occasions and were not disappointed at all. We also used the laundry service and even though we missed the 9am deadline for same day return, when we came back in the evening our clean clothes were there.
The staff were very helpful indeed and I would have no hesitation at all in recommending this hotel to anyone. If I do ever go back to Milan, the Hotel Galileo would be my first choice for hotels.