I agree with Gino, although a full coat of most kinds of paint should do the job as well. I have a garden shed in my back yard that is sheathed with particle board and painted and it does a great job of repelling the water. That said, I also made some oak Adirondack chairs that I sealed with spar varnish and that works quite well also, especially for the horizontal surfaces.
A piece of solid wood is probably not your best choice for this, as it will expand and contract slightly with changes in humidity (I also dabble in furniture making). For the purpose of providing a solid base you could use either MDF or plywood, both of which will stay a stable size (and thus not risk cracking the clay once it all dries) and are more likely to start off flat in the first place. In any case, make sure you paint/varnish all sides of the material, not just the top.