Yes, you are correct that you should account for the $1000 refund. It may or may not be taxable, but you do not need to receive a 1099-G to enter. Either way, you can enter it and the software will walk you through determining if it's taxable and, if so, how much of it is taxable.
To enter, in the top right search bar enter 'tax refunds, state and local' and then select the first jump to link. You'll be able to select the year of refund date as 2013.
I can also save you some time by explaining that if you did not itemize your 2013 taxes, then you do not need to enter this at all. If you itemized your deduction in 2013, you should enter it because you took a deduction for the $1,000. It's only taxable to the extent you received a tax deduction for it in the prior year, which would be 2013.
If you are unsure, look at your 2013 form 1040 line 40. If the amount on this line is coming from schedule A (the next page), then you've itemized your deductions.
If you see your state and local taxes deducted on schedule A (most common), then you got a deduction for that $1,000 and that's why it's reportable.