After meeting Delhi Chief Minister Arvind Kejriwal, Geeta boarded a Delhi Metro train at the Civil Lines station in the city's north and travelled all the way to Patel Chowk station, near parliament.
At the Patel Chowk station, the deaf-and-mute woman visited the Metro Museum and was taken around with an interpreter's help, Delhi Metro said.
She was accompanied by members of the Edhi family who took care of Geeta for over a decade in Pakistan.
Geeta, now 23, was about 11 years old when she crossed into Pakistan in 2003 by mistake.
She was spotted by the Pakistan Rangers in Lahore and was handed over to the Edhi Foundation, a social welfare organisation that has looked after her since then.