Okay this is kinda not easy...

[Faceless Woman]

No. She was born with her tree. She wasn't born with that tree. Hence, no.

 

[devilsgrin]

The Tree, as opposed to Ce'Nedra's Tree, is the oldest living thing in the world of the Belgariad - as far as the Disciples can discover, it teaches them timelessness and an understanding of how and why they can live forever. Ce'Nedra's tree is just an ordinary tree - but it is implied as being an Oak and therefore she and it can lives for Ages - literally. So long as neither of them dies before hand through murder most foul or a woodsman's axe - hence the Treaty that prevents logging in the Wood of the Dryads.

 

[fiveten]

I think she inheritted the tree of the vale as her tree. Its on her amulet. I don't ever remember seeing any reference to her tree being an oak. I don't think she had a regular dyrad tree.

 

[Faceless Woman]

Oak, acorns. That's the reference I remember, and I last read the series three years ago. There may be more.

 

[devilsgrin]

The Tree of the Vale is no-ones tree. It is either prophecy or belgarath or polgara who when talking ot Garion about having all those daughters, one or other mentions that an Oak lives for a very long time, as a reference to Ce'Nedra's lifespan.

That Amulet was Beldaran's, the tree on the amulet was that Tree, but the Tree was not her Tree, nor is it now Ce'Nedra's - she just really liked it.
If she's a dryad she has a tree.
There is also a mention during Castle of Wizardry where Xera brings the royal engagement present from Queen Xantha... it is a pair of acorns wrapped in oak leaves... one acorn from Xantha's tree and one from Ce'Nedra's... therefore we can surmise that Ce'Nedra's tree is an Oak.