For first-year students living on Duke University’s East Campus, Lilly Library may be their first foray into academic research. The library and its staff help them understand how to make their way through the resources available to them and prepare them for the rest of their time at Duke. But, as a vital piece of Duke for almost a century, it’s beginning to show its age. In support of the proposed renovation and expansion of Lilly Library, Duke has received $10 million, President Vincent E. Price announced Friday.