Yes, it will not only give you merits but more merits than that are acquired upon performing some other charity works.
From Daksha Smriti:
What is presented as a gift to the father, to the mother, to the
.preceptor, to a friend, to a humble person, to one who has done any
good, to the poor, to the helpless and to distinguished persons,
yields fruits. (15)
Daksha Smriti 3-15.
From VyAsa Smriti:
By making gifts to one's parents, brothers, father-in-law,
mother-in-law, wife, or children, one is entitled to an eternal
residence in heaven. (29)
A gift made to one's father is hundred times more meritorious than the
one made to an outsider, those made to one's mother and sister being
respectively ten times greater than the latter. A- gift made to one's
brother bears eternal fruit. (30)
VyAsa Smriti, Chapter 4, Verses-29,30.
These verses from the VyAsa Smriti are also highlighted in the book called Dharma Bindu (which is hosted by the Kamakoti.org website) in the context of emphasizing the need of making gifts to our own family members viz- parents, brothers-sisters etc.
Maata pitrushu yadyayaad bhraatrushu shvashureshucha,
Jaayaapatyeshu yaddadyaad sonatah svarga samkramah||
shatagunam daanam sahasra Maaturuchyate
Bhaginyaam shata sahasram
sodare duttamakshayam ||
In the current times, what Veda Vyasa states is indeed applicable:
Charity that is provided to parents, brothers and father-in- law, own
wife and children would pave the way to heavens. If the charity that
is given to father is hundred folded, that given to mother is thousand
folded, to sisters it is of lakh times more and to brothers is
BTW, i have not understood why you have tagged the question with Bhagavad Gita.