There doesn't seem to be any way to export to a machine-readable format. Not even the Google Data Liberation Front seems to be of any help :/
Feeling determined and stubborn, I even tried writing a quick CasperJS script to scrape the page data but quickly ran into two-factor auth obstacles. Since Google won't let you login with an application-specific password and doesn't have any API endpoint which devs can hit to get this data, it makes things rather tricky! Getting easy, downloadable access to this search history directly from Google doesn't seem within the grasp of even a determined developer at this point.
Feeling determined and stubborn, I even tried writing a quick CasperJS script to scrape the page data but quickly ran into two-factor auth obstacles. Since Google won't let you login with an application-specific password and doesn't have any API endpoint which devs can hit to get this data, it makes things rather tricky! Getting easy, downloadable access to this search history directly from Google doesn't seem within the grasp of even a determined developer at this point.