TurboTax only prepares a few city or local tax returns as an extra step in your state return. For most local tax returns you are on your own. You may have to ask around amongst your neighbors, etc. to find out if you have a local tax and how to pay it. “Google “ local tax for your area. Call your city government, etc. Your only record of paying your local tax will be your own bank/credit card records
If your city tax is one of the ones mentioned in this help article as one that TurboTax prepares, you can preview your state return and your 1040 form before you e-file to see how your taxes were calculated and to preview the forms that TurboTax has prepared from your entries: