By default WP-AppKit doesn't get post terms to keep web service responses light. But thanks to the wpak_post_data, you can customize the returned data.

Add post terms with wpak_post_data hook

/*
 * Applies to:  since WP-AppKit 0.1
 * Goal:        Use wpak_post_data to add post terms to the web service response and display them in app
 		You may want to look at https://codex.wordpress.org/Function_Reference/wp_get_post_terms
 * Usage:       WordPress: in the app's theme PHP folder or a separate plugin.
 *		App: single.html or archive.html
*/
add_filter( 'wpak_post_data', 'add_terms_to_my_app_posts', 10, 3 );
function add_terms_to_my_app_posts ( $post_data, $post, $component ) {
	
	// Get post terms
	$terms = wp_get_post_terms( $post->ID, 'my_taxonomy' );
	
	// Don't overload the web service response
	// Pick only the needed variables
	// In this example: name and description of terms
	$terms_in_app = array();
	foreach( $terms as $term ) {
		$terms_in_app[] = array( 'name' => $term->name, 'description' => $term->description);
	}
	
	$post_data['my_terms'] = $terms_in_app;
	
	return $post_data; //Return the modified $post_data
}

App's JavaScript

<div>
 
	<% for (i=0; i < post.my_terms.length; i++) { %>
	
		<div> <%= post.my_terms[i]['name'] %> </div>
		<div> <%= post.my_terms[i]['description'] %> </div>
	<% } %>
 
</div>