The connector is a sma connector.
The antenna is called a Yagi antenna and yes it's used for mobile applications.
On the connector you normaly connect a small pad that you lay the phone on when you want to make calls. Some phones has a antenna connector but you need a pigtail converter cable to attach to.
Edit: You also screw the sma directly into most dekstop 3G modems/routers which is probably what it was used for.