A major contributor to Hawley's 2016 election, Peter Thiel, who provided Hawley with $300,000, is a prominent opponent of Google:
Thiel, an early investor in Facebook Inc., has criticized Google for years. In 2012, he sparred with then-Google Executive Chairman Eric Schmidt on stage at a conference, calling the company’s search engine a monopoly. “It’s quite legal to have a monopoly as long as you don’t abuse it," he added. In his recent book, "Zero to One," Thiel argued Google was a monopoly and said every company should want to be one.
Hawley's action against Google is detailed in this post.