The only
daughter of
Finarfin and
Eärwen, born in
Aman during the
Years of the Trees long before the
First Age.
When the First Age began Galadriel traveled to Middle-Earth with her four brothers and lived in Beleriand among Thingol's (her relative, Eärwen was Thingol's niece) people. This is where she met Celeborn, her future "husband"/life mate with whom she would have her only (Tolkien did not explicitly say this was their only child but he mentions no other(s)) child, Celebrían.
Galadriel was also the bearer of Nenya, one of the Three Rings of the Elves.
After the destruction of Beleriand in the War of the Wrath (circa I 583) most of the Noldor in Middle-Earth returned to Aman. Galadriel was forced to remain behind due to her involvement in the Kinslaying and all that. After Amroth's passing in III 1981, she and Celeborn became the rulers of Lórien. They both reigned there until Galadriel passed on to The Undying Lands with Frodo, Bilbo, Gandalf, et. al. on 29 September III 3021.
The name "Galadriel" means "radiant garland (hair)."
(see J.R.R. Tolkien and read The Lord of the Rings)