The GSM SIM card of your mobile phone is a standard smart card which functions according to the ISO 7816 standard.
You can research any GSM SIM card from any mobile phone using an APDU-oriented software like a Smart Card ToolSet
For working with GSM SIM cards using any PC/SC smart card reader and specialized software you need make one small and useful tool.
It's very very easy. Please see on these pictures below.