You can access the current layout object via this.layout and it returns the object Cms\Classes\Layout.
this.layout has the following properties.
Converts the layout file name and folder name to a CSS friendly identifier.
<body class="layout-{{ this.layout.id }}">
If the layout file was default.htm this would generate a class name of layout-default.
The layout description as defined by the configuration.
<meta name="description" content="{{ this.layout.description }}">