Connect to Mini Pro through Uno R3

Sorry please excuse my complete NEWBYness.

If you were wanting to extract the flash and eeprom from a mini to backup on your PC how would you go about it?. I am very new to these things and I am getting that horrible feeling i have bitten off more than i can chew.

The reason I ask this is your last reply has confused the heck outta me. Can i read the chip through the IDE?