Details at http://code.google.com/apis/ajaxsearch/documentation/#fonje in the "Flash and other Non-Javascript Environments" section.
Their description:
"For Flash developers, and those developers that have a need to access the AJAX Search API from other Non-Javascript environments, the API exposes a simple RESTful interface. In all cases, the method supported is GET and the response format is a JSON encoded result set with embedded status codes. Applications that use this interface must abide by all existing terms of use. An area to pay special attention to relates to correctly identifying yourself in your requests. Applications MUST always include a valid and accurate http referer header in their requests. In addition, we ask, but do not require, that each request contains a valid API Key. By providing a key, your application provides us with a secondary identification mechanism that is useful should we need to contact you in order to correct any problems."
This puts things on even footing with Yahoo!'s excellent API.