How can I display the block title when rendering a block using Twig Tweak?
You'll have to manually type it on your twig, as per https://www.drupal.org/project/twig_tweak/issues/2738781

If you don't want to type it on twig, a work around would be to add a "Text area" to your view's Header and use replacement patterns, &lt;div class="view-title"&gt;[view:title]&lt;/div&gt;. 



Alternatively, you could ditch Twig Tweak and do it yourself by creating a variable:

function MY_THEME_preprocess_HOOK(&amp;$variables) { 
    // replace HOOK with the template file you're trying to add it to. Ex: node, page, block etc..
    $view  = views_embed_view('view_name', 'block_1');
    $variables["my_view"] = \Drupal::service('renderer')-&gt;render($view);
}


Then in the template file you just do {{ my_view }}