In order to become eligible to apply for permanent residency after 5 years, you may, in theory, be required to demonstrate that you have lived in France for up to 80% of your residency period full-time. (In practice, however, this is not common.)
In order to apply for French citizenship, however, this will likely come into play. In addition, you’ll also be required to undertake a French language and cultural knowledge test, and you’ll have to prove that you’d been paying French taxes during your residency period.
Many people therefore opt to stop at the permanent residency stage, rather than proceeding to applying for citizenship.
France does recognize dual citizenship though, so you won’t be required to renounce your native citizenship should you choose to apply for French citizenship through naturalization after 5 years.