If I marry her, can she get whatever is needed and stay with me?

Further information is needed in order to provide a full analysis, but be aware that if your fiance enters the U.S. with a visitor's visa, she will be declaring an intention to remain in the U.S. only temporarily for the purpose contemplated by the visa, and if she were to promptly become married and apply to adjust status (to get a "Green Card"), she would risk the USCIS deeming her to have had an intention to remain permanently in the U.S. and to have therefore committed visa fraud, which can have very harsh consequences. It would be wise for you and your fiance to consult with an immigration attorney who, after learning all of the relevant details about you and your fiance, would be able to advise about immigration eligibilities, options and strategies, and would be able to offer legal representation in the application process.

If you are a US citizen, and she enters the country legally and does not have inadmissibility issues, she will be able to get her green card in the US.