You can add your new NoteCaddy stats to the Hud in the same way that you would add any other PT4 stat. The new notes should be available in PT4 once you save them in NoteCaddy (you also need to run the task to process your hands for the new note in order to get data).
Check out the
Quick Start Guide for more information on how to edit your Hud. If you want to only see NoteCaddy notes in your Hud then you'll need to create a new Hud profile to add your notes to. If you want to see NoteCaddy notes in your existing Hud you could add a new on-table group or a new popup and add them there instead.