Add olive oil to the pan and heat on medium heat. Slice Kielbasa to desired thickness and add to pan (make sure the package says fully cooked). Add onions to pan, saute onions and brown edges of Kielbasa.
Meanwhile, cook broccoli until soft.
Add butter, garlic, and wine to the pan with Kielbasa. Turn down heat and allow flavors to mix.
Once pasta and broccoli are done, add to the pan of Kielbasa and mix well.
Add salt/pepper and cheese to taste. May also add cayenne pepper or red pepper flakes (I use creole seasoning).