They ask for your employment history and whether you have failed to pay taxes. If you are not working the officer might wonder are you legally supporting yourself. They don't ask for letters of employment.
Yes, the interviewer will ask those questions and for letters of employment on occasion. You should also provide proof that you have been paying taxes for the past five years at least.
The answer provided here is general in nature and does not take into account other factors that may need to be reviewed for a more precise answer. You should consult with an immigration attorney before taking any action. The answer here is not intended to create an attorney-client relationship.
Usually, they want proof that you have been paying taxes.
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Employment history in normally not an issue during a naturalization interview. However, if you received the green card through employment you may be asked question about that. The most important things are your residency, length of trips outside the US, Criminal records and payment of taxes.