It looks like it's outputting an array, so you'll have to do this:
$backend = $this->kernel->session()->get('backend');
var_dump($backend['name']);
If you're lucky enough to have PHP 5.4, you should be able to do this (array de-referencing):
var_dump($this->kernel->session()->get('backend')['name']);
Eventually I want to be able to support dot-notation stuff like this in the Alloy session driver, but it is not currently supported. It is supported in the Request object though for accessing nested POST/GET data, so the code is in Alloy already:
Regards,