The files bit rate is the files bit rate, unless you are asking if your pc can upconvert in front of the DAC. I haven't seen up converting onboard sound cards stock, but they are available aftermarket. I doubt there would be a sonic benefit if you are using a decent DAC, your file will still be @ 16/44.1 and your DAC needs to do its job.
I don't know about media monkey, but foobar and jrivers will both show what rate your file is playing at.
I don't know about media monkey, but foobar and jrivers will both show what rate your file is playing at.