You will need the adapter for your current micro SIM to put it into your GNote. It will work for phone calls and probably data but not LTE. If I put a regular 3G SIM into my skyrocket it works or even a t mobile it will still work even though it is EDGE. (My skyrocket is unlocked). Just as when I put my SIM which is provisioned for LTE into my International GNote it works fine on HSPA+.
I would get the adapter and try it. Ultimately you would need a LTE provisioned SIM card for LTE.
Nexus 5 (32GB), Moto X (32GB),
Lumia 1020,Galaxy S4 (32GB), Google Edition S4, S4 Active, Nexus 4, Note 2, Galaxy S3, Galaxy Note (ATT), Galaxy Note Intl., Galaxy S2 Skyrocket, Nexus S, Atrix 2, Atrix, Galaxy S1 Captivate, Nexus 7 (32GB)
and yes...an iPhone 5 too...