Holesmanny and White90dx you both are correct! Thanks a Million!
Holesmanny - The connector you are talking about is attached to the valve cover against firewall on my generation. When you said blue connector I had an idea what you were talking about.
Valve cover before cleaned. Red = mystery vacuum hose connection, Green = the electrical connector, Blue = another vacuum hose
Picture after taking the manifold off - Red arrow points to the same thingy.
White90DX - picture of diagram that I had totally forgotten about since I removed the engine hood and placed it on top of the car hood!! It clearly shows that there are two hoses that connect to that thingy and I would have easily known what it was talking about.
Thanks again guys!

Now, I found out my brand new oem thermostat is busted or the wrong model, plus my fan doesn't come on.
I removed the thermostat and the water flows fine now. Wouldn't doubt my local dealership gave me the wrong one - it wouldn't be the first time they've given me a wrong part.
I unplug the fan sensor and the fans work, I turn the AC on and the fans work, I pull the fan relay switch and there is no continuity like the shop manual says there should be.