You may hear the words "eye transplant" used by patients, but a true eye transplant surgery is not possible. Currently, the only eye transplant procedure that is available is the cornea transplant, which replaces a diseased cornea with a cornea donated by a deceased donor. So your friend probably meant that she would be having a cornea transplant, not an eye transplant.
Scientists don't expect a total eye transplant surgery to become a possibility in the near future. A true transplant of the eye would require severing and reattaching the optic nerve, which is beyond the current capabilities of surgeons.
Facts about the Cornea and Cornea Disease. National Eye Institute. January 2011. http://www.nei.nih.gov/health/cornealdisease/#4