Depends on the motherboard, not the CPU.
The first absolute rule - the memory technology of a graphics card is the business of the card and nothing else - other issues relating to specifications do matter, but a DDR RAM graphics card would work with an SDRAM motherboard if nothing else prevented it.
Back to the main thing...
The CPU is Socket 370 (eg. Celeron socket) - and that covers a range which runs from PCI only, through AGP 1.0 and 2.0 specification. If it's only AGP 1.0 - 3.3v specification, that that is also pretty dodgy for modern cards.
The 9250 seems to be one of the last graphics cards to be fully "Universal" with AGP 2x mode at 3.3v supported, so it looks like you may be ok if you can see an AGP slot (usually brown, set further in than the PCI slots). Never rely on a utility that says there is AGP, as it could be an AGP-supporting chipset with no actual slot on the board!
http://majorgeeks.com/download.php?det=4181
Try Everest, see what that has to say about the motherboard