Nutrition Facts and Analysis for Broccoli, cooked, boiled, drained, with salt
A large stalk of broccoli, boiled with some salt, no butter - has 1 gram of fat.
Vegetables do have fat, even without fat added. Almost every food has fat, unfortunately (or fortunately, depending on how you look at it). This is the single best reason I have for avoiding added fats. Nice to have, but you already get fats contained in plain unadorned foods!
I like WW database and how it works, but I like the graphics here (the pie chart for calorie intake gives me a ton of information with just one look...)