Celeron-based systems generally run pretty well, but it all depends on the motherboard's chipset and what other devices you have. Onboard sound on Intel-based motherboards is usually supported by the Alsa snd-intel8x0 driver, but again - it all depends on the chipset. Graphics usually work, but you may run into problems with hardware acceleration (required for most 3D gaming).
Give it a try, or Google for the make and model of the computer -
www.google.com/linux is a good start.
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