Question: do kurt and blaine get back together in season 4

Answer: Yes, Kurt begins to mend their relationship in ``Thanksgiving'', just before New Directions loses at Sectionals to the Warblers, and they spend Christmas together in New York City. Though he and Kurt continue to be on good terms, Blaine finds himself developing a crush on his best friend, Sam, which he knows will come to nothing as he knows Sam is not gay; the two of them team up to find evidence that the Warblers cheated at Sectionals, which means New Directions will be competing at Regionals. He ends up going to the Sadie Hawkins dance with Tina Cohen-Chang (Jenna Ushkowitz), who has developed a crush on him, but as friends only. When Kurt comes to Lima for the wedding of glee club director Will (Matthew Morrison) and Emma (Jayma Mays)--which Emma flees--he and Blaine make out beforehand, and sleep together afterward, though they do not resume a permanent relationship.