This phase II trial tests how well giving durvalumab with standard chemotherapy, gemcitabine and cisplatin, before surgery works in treating patients with high risk liver cancer (cholangiocarcinoma) that can be removed by surgery (resectable). Durvalumab is a monoclonal antibody that may interfere with the ability of tumor cells to grow and spread. Chemotherapy drugs, such as gemcitabine and cisplatin, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Giving durvalumab with gemcitabine and cisplatin before surgery may make the tumor smaller and reduce the amount of normal tissue that needs to be removed in patients with high risk resectable cholangiocarcinoma.