View these Pleasanton Apartments on ForRent.com: The Civic Square Apartments are located in Pleasanton, California. Civic Square is a community with a hard working staff that wants to make your experience here the best experience possible. Here at Civic Square we strive to provide a living environment like no other with our excellent selection of amenities. Within walking distance there is a welth of shops and restaurants along Main and West Neal Streets in the quaint downtown area. When visiting Civic Square, we want you to feel at home and know that we care.