OK,first, let's get some common ground here.
The engine makes heat and the cooling system gets rid of that heat. To get rid of the heat you need a pump to circulate the coolant from the engine to the radiator. The radiator has to be filled with coolant to the top, and then you need air flowing through the fins of the radiator.
You need to know that these engines run hot, too hot to touch. To be exact, someplace around 190 degrees F. The fan comes on about 215 degrees. When the bike isn't moving, even in cool weather, there will not be enough air flow to keep the engine from getting hotter and turning on the fan. When things are working properly the fan will cool things down enough to shut off, whereupon the engine will get hot again and start the fan.
I was out in my garage today balancing the throttle bodies on my K75RT and even though it's 50 degrees, the fan kept coming on and shutting off. It's a normal part of the operation.
Now to your bike. A new bike should always have all the fluids changed before use. Oil, brake fluid, and coolant. Get a gallon of long life antifreeze, a couple gallons of distilled water, and a bottle of radiator flush.
Drain the cooling system by pulling the plug on the water pump. Refill with distilled water and the radiator flush and run the engine for 15-20 minutes. Drain the water and the system flush and pull a hose off and look inside to see if there are any mineral deposits remaining in the hose. If there are, do another flush with fresh distilled water and radiator flush. I had a bike where I had to flush it three times, the last time with white vinegar to get all the minerals out.
When it's all clean, make a mix of 40% antifreeze and 60% distilled water and refill the system. Fill slowly, squeezing the hose on the right side of the engine gently to force air bubbles out.
Look at the fins of the radiator. Are they full of dirt, bugs and leaves? Flush the fins out. If they are packed up real well, you may have to pull the radiator out to do a good job of cleaning. Get the fins clean before refilling. If you have to pull the radiator you're going to spill all the antifreeze and refill.
If you do the flush, clean the fins and refill with the proper mix of coolant you'll have your cooling system operating at maximum efficiency which it will need for those hot summer days in Illinois.
There is still the possibility that the water pump is not working properly, but that is something for someone with more knowledge than myself to chime in on.