If you use a modem One Stop Automation can connect and disconnect to the internet automatically. Click on the Options button in the main window and select the connections options tab.

If you want One Stop Automation to automatically connect to the internet before starting a run and disconnect the modem at the end of a run check Dial/Hangup Modem.   Please note that One Stop Automation will always disconnect if this option is set so you may want to uncheck this option if you want to surf the internet.