The real estate is in dad's name. How can I transfer it to mom and me?

Your father's name is on the property certificate. Your father died intestate, and his inheritance right should be half that of your mother, and half that of you and your sister. If your father has no parents, brothers and sisters, then if you want to transfer your father's property to your mother and your name, you should ask your sister to give up the inheritance right, go to the notary office with your mother to issue a certificate, and then go to the real estate center to handle the transfer to your mother and your name.