Problem connecting Arduino Uno R3 to SIM900 GPRS/GSM shield and sending an SMS

One wire from Uno D7 to SIM900 D7. Another wire Uno D8 to SIM900 D8. Ground to ground. This assumes that the jumper block adjacent to the aerial allows you to select between D0,D1 and D7,D8. I cannot read your board markings.

Load the serial relay sketch as above and try it.