On my engine I have the crancase vent tube on the right side of the engine and non vent cap on my valve cover, looking in a photo just now of another engine it shows a hose going from the crank case vent tube to the valve cover with a T bracket and a vented oil cap then another hose going over the valve cover to?

My questions are, should I get a vented valve cover cap and run the hose from the cap to the vent tube on the crank case, what dose the other section of hose go to, and what is stock to this engine?