Short answer. No, she cannot. Article 1035 lets you, as her child, inherit her legitime by representation when she is excluded for incapacity, but it expressly bars her from enjoying the usufruct and administration of the property you inherit. That property belongs to you alone; the excluded parent gets no share in using or managing it.
What the law says
If the person excluded from the inheritance by reason of incapacity should be a child or descendant of the decedent and should have children or descendants, the latter shall acquire his right to the legitime.
Civil Code, Article 1035 — The Excluded Heir's Children Represent Him. Read the full provision →
What the law says
The person so excluded shall not enjoy the usufruct and administration of the property thus inherited by his children.
Civil Code, Article 1035 — The Excluded Heir's Children Represent Him. Read the full provision →
Representation lets you inherit her share
When a would-be heir is excluded from inheriting because of legal incapacity, rather than disinheritance, the law does not simply let that share pass to the other heirs at large. If the person excluded from the inheritance by reason of incapacity should be a child or descendant of the decedent and should have children or descendants, the latter shall acquire his right to the legitime. As her child, you step into the legitime she would have received, by right of representation, rather than by any decision the excluded parent makes.
The excluded parent keeps no usufruct or administration
Receiving the legitime this way does not come with strings attached in the excluded parent's favor. The person so excluded shall not enjoy the usufruct and administration of the property thus inherited by his children. That means she has no right to use the property, collect its fruits or income, or manage it on your behalf simply because you inherited through her incapacity. The property and the decisions over it are yours.
Why the rule is written this way
The rule exists because incapacity to inherit is treated differently from disinheritance or predecease; the excluded heir is still alive and could otherwise try to benefit indirectly from property meant for her children. Cutting off usufruct and administration closes that gap: representation transfers the legitime to the next generation cleanly, without leaving the incapacitated parent in practical control of assets the law says should go to you outright.
What this does not cover
This rule addresses only the legitime acquired through representation because of the parent's incapacity to inherit. It does not describe what happens where a parent is validly disinherited for a cause recognized by law, nor does it change how the rest of the estate is settled among the other heirs. If your situation involves disinheritance rather than incapacity, or disputes over how the estate as a whole should be divided, those questions turn on other provisions and the specific facts of the case.