How to use square pic controllers with breadboard
I am going to assume that by "Square" you mean a surface mount (T)QFP type package. These parts are not designed for breadboard, and to be honest breadboards are evil anyway. 

If you want to use one you would require a breakout board (PCB) which takes the surface mount pins and brings them out to breadboard friendly 0.1" headers. Depending on the number of pins such a thing may exist or it may not.

For a university project, you should seriously consider designing a PCB for this thing - a well designed PCB goes a long way to getting extra credit!