If you setup your IP Camera to upload pic on motion will it still upload if you turn off your computer? - yes
I'm pretty sure if you have it record to your computer, the computer has to be on. The computer will need to be on to record video. You can use FTP uploads without a PC, but it will only record images, not full video.
For those with the SD built in Camera... - The XX39A will record to the SD card without a PC turned on