Hi James,
It should be easy to connect this sensor to Arduino boards.
It is a 5V, temperature compensated and calibrated vacuum pressure sensor. The full-scale output (no pressure difference between P1 and P2) is typ. 4.6V and the output is 38.26mV per kPa. Considering Arduino's typical 10-bit ADC powered at 5V, each ADC step corresponds to ~4.88mV (5V/1024) or 127.5Pa.
The pins are numbered as follows:

So connect Arduino 5V to sensor pin 2. Arduino GND to sensor pin 3. Arduino analog input (for example A0) to sensor pin 4.
Read the analog value and write it to the serial monitor: http://arduino.cc/en/Tutorial/ReadAnalogVoltage
If that is working, you can start to calculate the actual pressure.
Hope it helps.
Best regards,
Tomas