The Lawn and Garden Index for the Southeast shows that most parts of the region have had ample rainfall and are in good shape with no need for watering.  The exceptions are in southern Georgia and parts of the Florida peninsula, which have been largely bypassed by recent rains.

The University of Florida has provided some guidelines for how to conserve water in dry conditions at the link below.

Ways to save water during drought

I also read an interesting article from the National Science Foundation noting that in drought conditions, the over-watering of lawns during the drought can cause the loss of millions of gallons of water that might be used for other purposes, so make sure you are watering or irrigating appropriately and not just wasting water.