Multi-level ordering in WordPress

Multiple orderby with different sort order values are possible as of WordPress 4.0, take a look at the codex page for WP_Query – Order – Orderby Parameters. There is an related Make WordPress Core article too.

The following example would comply to what you want:

$query = new WP_Query(
    array(
        'orderby' => array(
            'name' => 'ASC',
            'date' => 'ASC'
        )
    )
);