Is it solid wood or veneered particle board? If the latter, I recommend lining it with PVC or other plastic sheetstock. Sealing can work with solid wood, but with particle board, if there's the slightest defect in the seal and water gets in, it will disintegrate.
The back appears to be a thin plywood. I would use a similar plastic sheet stock over that (or replacing it) for integrity.
Seams & corners can be sealed with clear pure silicone (e.g. GE #1).
What are your plans for lighting, since the top appears solid except for the curios light?