I had pa local taxes taken out I live in nj do I get this back

Per the tax agreement between PA and NJ, your employer should be withholding NJ taxes, not PA - which would allow you to file only an NJ income tax return. However, since they have apparently withheld PA tax from your paycheck, you will now have to file a PA non-resident tax form to get it back, as well as a NJ resident form. There's more information about the PA-NJ reciprocal agreement here: Income Tax - PA/NJ Reciprocal Income Tax Agreement - NJ Taxation This does not apply to the City of Philadelphia payroll tax.