Not by itself. Finishing a task does not send a notification to your devices on its own, so you are not pinged for every step of a long job. Device notifications are reserved for messages addressed to you, such as an @-mention or a reply from Tycoon Agent. Tycoon Agent decides whether a result is worth interrupting you for.
Then where do I look?
Two places:
- Done lists completed work. Results you have not opened yet are marked as new, and the mark clears as you open each one.
- The task itself holds the closing result: what was achieved, how it was verified, and links to the deliverables produced.
What if I would rather be told?
Ask Tycoon Agent in chat — she summarizes what changed, what remains, and whether anything needs you. A recurring operating brief can also report finished work on a schedule instead of item by item, and you can pause or resume it from the brief's own task. See Notifications and how to control them.
What if the task needs me before it can finish?
That case does reach you. A request appears on the task naming the exact action and the person who owns it, and the task waits on that answer instead of guessing.
You do not have to wait on the page for any of this — see Will my task keep running if I close the page?. For what a finished task contains, see Atomic Task Close-out, and for reading results later, How to view past tasks.