I'm happy to see you here in the Community, @yacky.
I got you covered with accessing the .QBB file that you received from your old bookkeeper.
The .QBB file is a backup copy from a QuickBooks Desktop company file. That said, being able to access this directly in QuickBooks Online isn't available.
To achieve your goal, you'll need to restore that file on a Desktop version using our trial links. From there, you can export the data from the desktop version and import them into your QBO account.
After downloading the trial version, you may restore the .QBB file by following the instructions found in this link: Restore a backup of your company file.
Try open your data file on trial license as mentioned by BettyJaneB. If your data file is too old, you may need to convert in steps or purchase a 3rd party conversion service.
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