Some states start processing e-filed returns at the same time as the IRS, while some others do not. The pending status means that your state return hasn't been accepted or rejected yet. Please see the TurboTax article Why is my state e-file still pending?
You can also visit your state’s Department of Revenue to find out when your state starts processing e-filed returns. Please review the TurboTax article How do I contact my state's Department of Revenue? for more information.