If the app is open on the receiving side, the incoming message doesn't have any effect.
If the the app is not open on the receiving side, the OS shows a message: "New tag collected" with the note contents in it. But that is not very useful, as it can't be imported into the notes app.
This issue is described here: http://stackoverflow.com/questions/30849901/when-app-receives-nfc-data-it-opens-new-tag-collected
Note that I see the same behaviour for the shopping list app, but issues have been disabled for that project. Hence, reporting here.