As far as cleaning up the glue on the first planing, I use a chisel to clean up the glue on both the front and the back of the board. There is very little variation from the surface of the board and the glue so it shouldn't make a difference when planing. You are not taking off very much material. Extremely light passes are made and if you took care to have a clean glue up, you might be removing about 1/64" of material from each side. Once you get one side planed, you can plane the other and it will make the second side parallel to the first. As far as a glue up tutorial, I'll see what I can do for ya.
Day 3 of the cutting board started off with unclamping what I did yesterday. I used a chisel to remove the remaining sections of glue and clean up the squeeze out a little. I then set up my belt sander as you can see in the next photo. I positioned a 16" dust hood directly behind the board and sanding with a 100 grit belt, I removed the remainder of the glue and levelled out any imperfections in the board. Safety glasses, a quality dust mask, dust collection with a 4" intake and an airborne dust collector were all part of this process. Don't screw around with this stuff guys. Don't be a tough guy, protect your lungs.
Here, you can see that all of the glue residue has been removed and the board has been levelled out. Now we can flip the board over and repeat the process to the other side. Don't think that you can just run this one through the surface planer, the blades will most likely tear up the end grain and destroy your board.
At this point, I put my ripping blade back in the table saw and, you guessed it, checked it for squareness to the table. I then cleaned up any imperfections from the glue up.
Once the board is cleaned up and fully sanded, I branded the back of the piece with my "hand crafted by..." brand (not shown) and used a 1/4" roundover bit to profile the top and the bottom of the board. Carefully run your router clockwise around the board to minimize tearout.
Once your board is routed, soften the corners with some hand sanding to finish the board off.