In Notezilla , after sticking the sticky note to a shared folder, you will need to send it to other PCs so that it shows on that folder on those PCs. No. The sticky note is not simultaneously updated on all the PCs. You have to send the updated note to all PCs again.
I assume that the other PC is used by some other user. If you are the only user between the PCs then below is the solution.
If you want same sticky notes on all computers automatically updated (synced) then you can create a single sync account and have the sticky notes appear sync automatically on all computers.
The sync account will help you sync all your computers with same sticky notes. That can help in your case.
To create sync account, right click on Notezilla and choose Sync. Once you create and sync all your sticky notes, you can go to another PC and sign into existing sync account to get all your sticky notes. After which all the sticky notes will be synced automatically across all devices. Do the same thing on every PC.
Make sure you use the same sync account if you want the same notes on every PC.