Sometimes you have reason to hide the points of your object. Maybe you’re making changes to your stroke width, maybe you’re adding a subtle effect, maybe you just find the selection color to be distracting.
See how those blue points make it hard to adjust the feather and transform on the highlight and shadow fills? Hide them by hitting command-h or under the view menu “Hide Edges”
Much easier to see now.
You can also use this tip in conjunction with the previous post on showing and hiding the bounding box to leave you no indication that you have anything selected while still allowing you to adjust your art.