read millivolts from pressure sensor with 2.5V offset?

I want to read this sensor (FPN-07PG) http://www.fujikura.co.jp/eng/resource/pdf/fpn_e.pdf with an arduino nano. I realize that the arduino can't really read mV at a high resolution and it appears to have a 2.5v offset. Can someone give me a strategy to read this thing?

Pressure sensors without internal instrumentation amp (your link) can't be read directly with an Arduino. You could add an instrumentation amp, but it's much easier to use a sensor with build-in amplifier. Leo..

Ok thank you.