Locating information on the WWW is a major activity for users, and Web Information Retrieval Systems (IRS) are becoming more important to support their endeavors. In this paper we characterize queries performed by Web users to such systems and give distributions for accesses to different Web IRS. We characterize clients' accesses, queries and user sessions. Our purpose is to reduce network and bandwidth by identifying ways to optimize interactions with the Web. We characterize clients' sessions by a sequence of Browsing, Searching, and Next steps, and demonstrate that more search steps correlate with a reduction in the number of bytes transferred.