@phoog already provided an excellent answer but I have a few more details to add that are a bit long for a comment and possibly useful for others so I decided to post them here. Given that you are in your 20s, you are already French if your mother was herself still a French citizen when you were born.
The relevant disposition is now in article 18 of the Code civil:
Est français l'enfant dont l'un des parents au moins est français.
The child, at least one of whose parents is French, is French.
Between 1973 and 1993, the rule was essentially the same by article 17 of the Code de la nationalité française, with a slightly different wording, for historical reasons:
Est Français l'enfant, légitime ou naturel, dont l'un des parents au moins est français.
The child, legitmated or natural, at least one of whose parents is French, is French.
Between 1945 and 1973, the rules were very similar but with some distinctions between men and women and married or unmarried parents (which is why the 1973 version stressed that the rule applies to both legitimate and illegitimate children, a precision that was dropped later) and I believe the rule to be even older. Since you are only in your 20s, none of that is relevant in this case however.
That's very clear and simple, so the only question is whether your mother was French when you were born. If she was, you don't have to worry about all the dispositions about becoming French and the like, they do not apply to you as you are already French.
There aren't many ways to lose French citizenship. For example, gaining another citizenship or residing abroad would not deprive your mother of her citizenship. So unless she actively renounced it, she would almost certainly still have been French when you were born.
Finally, you will read many things on this site and elsewhere on désuétude. The details are complex but there are rules defined in article 23-6 and 30-3 of the Code civil that make it possible for French citizenship to lapse if you reside abroad for 50 years and never use your citizenship (using your citizenship is called possession d'état). This could for example happen to your children if you never apply for a French passport. I believe this could not possibly apply to your mother as she wasn't born French. When she naturalised, she definitely had possession d'état.