You aren't including the library anywhere. In PHP, you can't just use
classes, you have to include a file which contains that class, or use an autoloader that maps class names to file names (autoloading is the preferred way to do it.)
I suggest installing the library with Composer. There are instructions for this on the neo4jphp wiki: https://github.com/jadell/neo4jphp/wiki/Getting-started. (You will need to install Composer first; instructions available here: https://getcomposer.org/)
Then, in your file, you can do:
<?php
require('vendor/autoload.php');
use Everyman\Neo4j\Client,
Everyman\Neo4j\Transport,
Everyman\Neo4j\Node,
Everyman\Neo4j\Relationship;
// The rest of your code