This is not what @DML1 is asking.
After you upgrade to iOS 9 and you launch the Notes app for the first time (under iOS 9) it offers you the choice of upgrading your Notes store on iCloud to the new format.
I chose not to upgrade for the time being because of the following reason.
Once you upgrade any device that you are running an older system on; be it iOS 8, 7, 6 or OS X 10.10, 10.9, 10.8; will NOT be able to sync your notes anymore.
Previous Notes were stored in the iCloud email account. The new notes are stored in a separate file somewhere on iCloud.
So if you still have older devices or Macs running older systems (For example I still have a boot of Leopard on a separate partition to run older software), once you upgrade, the notes on your older devices will be out of Sync with newer devices.
The other thing is that if you use Notes a lot between your iOS device and your Mac; unless you are running El Capitan (which at the time of this writing is not officially released yet) you will also not be able to use your notes between your iPad and your Mac.
iCloud: Notes overview
Cheers, Andrew.