Ghost in the Shell: Stand Alone Complex 2nd GiG Romance Story. Motoko listens to a tale of a boy who continues to search for the first girl he ever loved.
The (beautiful) Italian song that plays three minutes into the clip is called "I Do" with vocals by Ilaria Graziano, and composed by Yoko Kanno. Translated lyrics can be found here:
http://www.animelyrics.com/forum/topic_show.pl?tid=22082.