You have two sketches suggesting different wood grain directions on the panels. The photo you show orients the grain horizontally. Since wood expands and contracts across its width and depth, but not its length it is important that you orient all grain in the same direction so that they move together at the same rates. As for joining the pieces, you can simply finish the edges and glue them together and they will hold very well. (The glue joint actually may be stronger than the wood itself.) You may want to consider a lap joint when joining pieces at 90 degrees such as the sides to the top. This will increase their strength slightly and make any differences in the wood grain or colors less noticeable.
I would also suggest viewing a few woodworking instructional videos before trying to glue up these large boards. You will need to properly prepare the edges square to the face and true across the length for good contact. You will also need a good, flat table to support the assembly and plenty of clamps to press the boards together and hold them securely to the table during the glue setup.
You should also consider that the 12" wide boards shown in the photo, while lovely may have a tendency to warp. You can address this by securely fastening them every few inches vertically to an internal frame.