Google wants to connect all of San Francisco to the Internet with a free wireless service, creating a springboard for the online search engine leader to leap into the telecommunications industry. The Mountain View, Calif.-based company filed an application late Friday to provide a Wi-Fi service that would enable anyone in San Francisco to connect to the Internet. Google submitted its 100-page bid in response to a request from Mayor Gavin Newsom, who is looking for a company to finance a free wireless network to lower the financial barriers to Internet access in his city.