We don't know what he got for his first Christmas. Probably not much given that he wasn't even five months old.
If you mean his first Christmas at Hogwarts please see related questions.
If I remember correctly it was a sweater knitted by his mother.
Dumbledore didn't give Harry a a present for his first Christmas. He did give him one during his first year at Hogwarts, which was the invisibility cloak.
The series doesn't cover Harry Potter when he was two, but given that he was living with the Dursley's by then - probably not much.
Ariana Dumbledore.
She was Albus Dumbledore's aunt.
The cloak belonged to James Potter, Harry's father. Albus Dumbledore borrowed it from James shortly before his death. Dumbledore then returned it to Harry during his first Christmas at Hogwarts.
Harry received the cloak in Harry Potter and the Philosopher's Stone, not the Chamber of Secrets.It was given to him by Albus Dumbledore who had borrowed it from James Potter. The cloak was in Dumbledore's possession at the time of the Potter's death and so he returned it to Harry.
Albus Dumbledore says "of course it is happening inside your head" in Harry Potter and the Deathly Hallows.
Albus Dumbledore did.
No.
Ariana Dumbledore.
Albus Dumbledore is male.
Yes, Albus Dumbledore was a mentor to Harry and could be considered as something of a grandfather figure.
Dumbledore
Ariana.
Albus Dumbledore
Albus Dumbledore.
Professor Albus Dumbledore.
She was Albus Dumbledore's aunt.
Albus Dumbledore. Also, his brother, Aberforth Dumbledore, as well as some other family members.