The one is the CPU chip right? and that CPU goes into that box thing right?
Yes and yes.
So all I need to do is take this CPU from this CURRENT motherboard and put that in the new mobo? Correct..?
It will be easier to remove the old motherboard before you remove the heatsink and CPU, and easier to install them on the new motherboard before you mount it.
Unplug the fan and remove the screws that hold it on, then take the fan off. Unclick the retainers holding the heatsink on and remove them. Twist the heatsink slightly to break the seal of the thermal paste, then lift it gently off of the CPU. Lift the socket handle:
and lift the CPU out (only handle it by the edges and be very careful of the pins). Clean the CPU's top and the heatsink's bottom off with alcohol and Q-tips. Reverse the steps to install the CPU in the new motherboard, remembering to apply the thermal paste before you put the heatsink back on.
The CPU only goes in one way:
so make sure it is lined up properly before you seat it with the lever.
Overall, here is a good visual guide to what you will be doing, except you aren't building a system from scratch. but you will need to see and know most of this.
Corsair System Build Reports