If my box 4 of my 1099-g has state tax withheld on my form,why is turbo tax saying box 4 is federal tax withheld?

Try matching the information on your form to the description of the boxes on the TurboTax screen.  The format for reporting unemployment compensation is not consistent from state to state and the information may not match the TurboTax screen exactly.  

The important thing to note regarding boxes 10a, 10b, and 11 is that if you did not have any state taxes withheld, then be sure to leave all three of these boxes blank. 

But, if state taxes were withheld, then enter the amount of state taxes that were withheld in box 11 on the TurboTax screen.  Use the dropdown selection to fill in box 10a with your state name.  Enter the Federal ID number (or Federal TIN) from your form for box 10b if there is no state ID number included with your information.