Hi,
In your system, you need following listed modules.
GSM, GPS, LCD and Controller.
8051 has only 1 UART but GSM and GPS both works on UART. But in your system, GPS only sends command and GSM receives command. So you can use 8051 series controller.
You can start interfacing GSM and GPS with 8051. Tutorial section can help you for both of this.
If you face any difficulty, let us know. We will guide you
All the best.