Yes, If the notes are being synced with that laptop, then you will see those notes on that laptop as well when you open the document.
This means that you will need to have Notezilla installed on the other computer also. And both the computers need to sync notes using the same cloud account. To create a new account, right click on Notezilla icon and choose Sync option.
Note: The sync happens every minute automatically after that.
Watch this video for more clarity: