I've been to both of these campuses. Stanford is Stanford. A beautiful campus whose grounds and building are well maintained. A blend of older and newer buildings and facilitates highlight Stanford's skyline.
Some interesting notes about Stanford University (founded in founded in 1885 by
Leland Stanford, former
Governor of and
U.S. Senator from California). Stanford faculty and alumni have founded many companies including
Google,
Hewlett-Packard,
Nike,
Sun Microsystems,
Instagram,
Snapchat, and
Yahoo.
Companies founded by Stanford alumni generate more than $2.7 trillion in annual revenue, equivalent to the 10th-largest economy
You can see the ocean from just about anywhere on Pepperdine's campus. If I had it to do over again, I'd have no problem going to either one of these universities.