The tar.bz file is for building it yourself (on raspi usually). You would need the zip file on the first page of the thread. Then do as sidehack has said and copy the zlib.dll file from the standard cgminer (in the mining software section of the forum). Copy that over to the gekko version, run zadig to change the drivers on the cp2102 uart controller to winusb, then run the bat file.
Sorry for sounding stupid... But... What's a zlib.dll file? I went through the files of the original CGMiner and the closest thing I found was a folder called lib...