Having just started using Parse for a recent iPhone app, I will say this is a pretty awesome feature. We have many channels that get automatically sent notifications using the REST API, so monitoring their activity will be very useful.
How is Parse push notification API better than Urban Airship's?
I haven't used their Push Notification service yet. I've just leveraged their mobile backend services so far. I was talking in general, that I am pretty pleased with their service and documentation thus far.
Parse is doing some great work. I'm leveraging them for a university design project and it's been trivial to set up and use. Congrats guys, and keep up the good work!