The Fluke "IR-USB" cable that is used to communicate with the meter over infrared is just a simple infrared transceiver and USB-to-serial chip. That's what it seems after reading the FlukeView manual. You can verify this by checking to see if the IR-USB cable appears as a normal USB serial port to Windows (or Linux or whatever), just like how the Arduino appears.
So then, the Fluke is just outputting simple serial data at some baud rate (probably 9600 or 57600 bps), with a modulation very similar to how TV remote controls work. You can easily read this with Arduino by adding an IR detector like the Sharp GP1U52X to the RX & TX pins of the Arduino. Search around on the net and you'll find pages on how to use it with other microcontrollers, like this one:http://www.mortalspaces.com/constructions/physcomp/sensor.html
Regardless of whether you get the Arduino to do this or use some more advanced microcontroller board, you'll need to know the protocol sent by the meter. I did a quick search and found these pages:http://cfa-www.harvard.edu/~thunter/manuals/RemoteSpec89_18X.htmhttp://www.flukecommunity.com/forums/showthread.php?t=224
If those commands do what you want, then great. Otherwise I'd suggest you find a simpler, less proprietary, means of doing your data logging.
If your application is only looking at digital events (on/off) or analog values that only need 8-bit resolution, I'd just use the Arduino itself as the "meter".
In general, going to something as complex as a computer that can be a proper USB host is overkill, it's rarely needed in the realm of embedded systems like multimeters and Arduino.