The software version of this update is G970FXXU3BSKO, G973FXXU3BSKO, and G975FXXU3BSKO for the Galaxy S10e, S10, and S10+ respectively.
The stable One UI 2.0 update for the Galaxy S10e, Galaxy S10, and Galaxy S10+ are available for download now. The update is being sent out OTA gradually. It may take some time before it becomes available in all markets.
You can check for the update manually by heading into the Settings > Software update menu on your device.