Shear luck... sometimes its tough to rise to the top. It doesn't hurt to do research on the positions though. Usually departments will post their staff online, and you can usually guess the hiring manager.
Its really dependent on which part of the University you work for, but from my experience, everyone trying their best to employ the best practices and technology to solve solutions. There are some offices that like to lean to heavily on "how things have always have been done," but our new president supports change and data driven decision making. From a culture perspective, the University has tons of work life balance events, promotes teleworking if you job permits, and seems laid back from that sense.
For me, it was questions that expect candidates to share experiences in a professional work environment where they encountered an issue or topic of question. Expect to share who, what, where, when and why of your experiences. Focus on outcomes especially, and don't just end on "it turned out well." Explain WHY it turned out well.