If you received a 1099-G for these payments, you will enter that information into your Federal return using these steps.
This should pull into your state return. However, if you do not see it under the Massachusetts paid family leave, the amount can be entered/edited in the state interview section of the program.
If you are in the desktop version of the program, log back into TurboTax and select the State Taxes tab.
Massachusetts follows the same treatment as the IRS and reports these benefits as taxable income.