Though Gianni started her drive with only 5 dolls, she now has roughly 700.
There's still a long road ahead before the goal is hit, but there are many other related matters keeping the Graham family busy.
Gianni intends to wrap each doll, complete with a handwritten, uplifting note.
She and her mother are also hard at work calling charities and shelters to make sure they're distributed in the best way possible.
Donation information and progress reports are available on both the 1K Barbies for 1K Girls website and Facebook page.
Related: See Barbie around the world and through the years:
Barbie around the world/through the years
9-year-old on mission to collect and donate 1,000 Barbies to homeless girls
ROME, ITALY - SEPTEMBER 11: Clothes for Barbie Dolls exhibition during the 'I Love B' as a part of the Vogue Fashion Night Out of Rome at Galleria Vittoria on September 11, 2014 in Rome, Italy. (Photo by Ernesto Ruscio/Getty Images)
PARIS, FRANCE - FEBRUARY 13: A Barbie doll created by Maggia (Unique Model, Couture at Versailles), is displayed during the exhibition 'Barbie retro chic' at the 'Musee de la poupee' on February 13, 2014, in Paris, France. The exhibition shows more 150 Barbie Dolls from February 11 until September 13, 2014. (Photo by Chesnot/Getty Images)
MUNICH, GERMANY - JANUARY 28: Barbie-dolls with the Barbie Collection 2014 are shown at the Press-Preview of the Nuremberg International Toy Fair 2014 on January 28, 2014 in Nuremberg, Germany. The Barbie Collection 2014 was presented by Designer Guido Maria Kretschmer. The Nuremberg International Toy Fair 2014 is the worlds biggest toy fair and is opendend to visitors from January 29th to February 3rd. (Photo by Joerg Koch/Getty Images)
NEW YORK, NY - FEBRUARY 17: A view a Barbie doll at the Sports Illustrated Swimsuit 50th Anniversary Pink Carpet celebration on February 17, 2014 in New York City. (Photo by Michael Stewart/WireImage)
This picture taken on January 20, 2014 shows Barbie dolls in different clothes as they are displayed in the Tassenmuseum Hendrikje in Amsterdam, on January 20, 2014. AFP PHOTO / ANP / BAS CZERWINSKI ***netherlands out*** (Photo credit should read BAS CZERWINSKI/AFP/Getty Images)
Barbie dolls, manufactured by Mattel Inc., the world's largest toymaker, sit on display at Hamleys Plc's flagship toy store on Regent Street in London, U.K., on Wednesday, July 25, 2012. The U.K. economy shrank more than economists forecast in the second quarter as record rainfall and an extra public holiday in the period sent output down the most in more than three years. Photographer: Simon Dawson/Bloomberg via Getty Images