Clothing/Shoes/Weather Gear: Be prepared for sudden changes in weather: Lake Champlain is right nearby and can create unexpected changes, while the fact that you're well to the north of Vermont and not far from the mountains also have an impact. Expect snow earlier and later than further south, and it's never any harm to throw an umbrella in your car before you leave!
Luggage and bags:
Take the usual bag on wheels or backpack, you don't need anything special for Burlington. Everyone was dressed very casually.
Clothing/Shoes/Weather Gear: It would be a good idea to take a jacket any time of the year as very cold winds blow off Lake Champlain.
Photo Equipment: A good camera and some 400 film to capture views on an overcast day.