Parents property

if he dies intestate then you will get a share along with his mother (if alive at that time), and his wife i.e your mother.

Thanks, Mr. Saravanan.

That means, my mom and me - gets the share. Since Grandma passed away some years back.

.What about my child? 

UR child will have access  only to the share received by in future.

your child wont get a seperate share as its not a legal heir to your father.it can inherit your share alone in the future

Is the property self-acquired or inherited by your father? If self-acquired the situation shall be different to inherited.

Contact, consult and engage a local lawyer to protect your interest well in advance i.e., before your father donates to your cousin. 

This is your father's self acquired property, so he has got full rights to dispose it in any manner and can transfer it by any legal means to any person of his choice during his life time.  In the event of the property becoming intestate upon the sad and sudden demise of your father who has not made any arrangement towards this property in anyone's favor, then the property will devolve on all his legal heirs equally.  That way, your mother will also be a co-sharer in it along with you.  For the present you cannot claim a share from it from your father.  

Your children will not entitled to a share in it any time even after you acquire or inherit the same by any means.  However you can gift your share of property to your children  if you would like to.