That era often has not been digitized yet, so you'll likely need to look at microformats - microfilm or microfiche. The microforms are part of the Periodicals collection and reside in the Special Collections and University Archives Department. Use OneSearch or Publication Search to locate your desired publication's microfilms.
You can also go to the Database List and choose "Newspapers" under the 'Types' drop-down list. Several of the newspaper databases offer resources from different time periods including the 1960s.
