With a large number of W-2G's from the same establishment, is there a way to replicate the W-2G form so I can just insert the amount paid?
No, unfortunately, there is no way to "replicate" the form. I might suggest that you may find the entries go faster if you switch to the Forms view (Ctrl+2) and enter them directly on Form W-2G rather than going through the step-by-step interview.