Put simply - nothing, they are essentially the same!
The reason that we may use different or both wordings in certain places is due to the Enterprise version of Transporters.io which has additional optimisations to work with Suppliers rather than Drivers.
As a result what is called Drivers in the Standard and Professional levels has been renamed to Suppliers for Enterprise, but almost everything except the name is exactly the same.
So anywhere that you see reference to either drivers or suppliers consider it to refer to whichever is present inside your system. Any changes that are exclusive to the Enterprise users will be clearly marked.