Don't understand how connect OP 3 and Google home together!

It would help if you posted what you’ve done.

In general the approach is:

  1. create a myopenhab.org account
  2. install the openHAB Cloud Connector add-on
  3. configure your myopenhab.org account with the secret and UUID as described add-on
  4. verify that myopenhab.org shows your instance is online
  5. Navigate to the Items you want to be accessible in Google Assistant in MainUI and add the appropriate Google Assistant Item Metadata to the Items.
  6. In the Google Home app add the openHAB account.
  7. Ask GA to “sync my devices”.

You must complete steps 1-5 before step 6 and 7. If you do not have any Items configured with GA metadata prior to linking the account and syncing devices, the sync will fail.