If there is a GPE edition (presumably no) it will run pure Android maintained by Google, or some editions will be maintained by Samsung. This is not likely because the S-pen is the key feature of the Note lineup, and without it would just be an S4. Which is why the S line would most likely be getting GPE editions over the Note line...
Sent from my fingers to your face using my Samsung Galaxy Note 3!
Samsung Galaxy Note 3 - SM-N900W8
ASUS Nexus 7 (2012)
Sony Xperia P
⇝ Samsung Galaxy Note II LTE - N7105
⇝ Samsung Galaxy S III LTE - I9305
⇝ Samsung Galaxy Note - N7000
⇝ HTC One X - S720e
⇝ Samsung Galaxy Nexus - I9250
⇝ Samsung Galaxy S II LTE - I9105
⇝ Samsung Galaxy S II - I9100
⇝ iPhone 2G - iPhone 4
⇝ HTC O2 XDA IIs