Thank you for your question. Yes; working for a public charter school as a teacher is a form of public (government) employment, absolutely. If the school were instead a private or a religious school, then your answer would change to no. However, public school teachers (whether for charter, magnet, special, or traditional public schools) are considered to be employees of a local government or government agency.
Moreover, when public school teachers retire, they are usually entitled to receive some form of state or local government pension. Is that the reason for your question?
If you have any details that you can add which would be helpful to the context of your question (such as where you see this asked in TurboTax), please feel free to post them here.
In the absence of that, if the above information did not adequately address your question, if you encounter any difficulties in the program interview, or if you just want to speak with a live tax
expert who can walk you through your TurboTax entries (including the ability to
screen-share with your computer), please feel free to contact us. We
would be happy to help you (and as a paying customer, the call is free to
you). Here is a link where you can create a support ticket and reach us:
https://support.turbotax.intuit.com/contact/
Thank you.