Julla: For Syberia the requirements ask for a P3 350MHz and a Direct3D compatible graphics card with 16MB video ram. So an old Geforce 256 (1999) or even a TNT Riva (1998) would be enough.
(For Syberia II the minimums are the same with an additional request for DirectX 8.1 and recommended is a card with 32MB vram (GeForce 2 (2000)).
The P4 2.93 models are available since 2004.
And if my quick Wikipedia scan survives your graphics chip could be something like (at least) a Intel gma 900.
These cards don't have dedicated vram but should be fast enough for this game and they support DirectX v9.0.
Yeah, the Syberia requirements are nice and low. Even when it was released it ran at almost everything.
Beware, I did try to give you good information, but I can't guarantee anything. BTW
If you want to see what graphics chip you have. (guessing you use Win XP or similar)
Right-click on your desktop -> Properties (lowest option)
The most right tab (Settings)
There is a text like "Plug-and-Play Monitor on XXXXXXX" (the XX being the chip-model)