There is very basic (to be improved soon!) search functionality in the app - it searches through lbry:// urls and content metadata from publishes. Any type of data can be published to lbry, including videos, images, pdfs, and more!
In terms of how it compares to EOS, I'm not sure, but our tech is specifically designed to content publishing, disovery and monetization. It also includes publisher identities and a payment mechanism in LBC.