The latest shiurim are on the homepage in order of most recent. Shiurim can be downloaded or streamed.
Please note that Apple doesn’t allow downloading, so on an iphone if you click “download” it will just try and play the file. If you click “Play in New Window” it should open the file to stream. The only way to download it on the iPhone is through the podcasts app, see below.
Additionally, all the shiurim are podcasts as well and you can subscribe in your podcast app (on iphone podcast app, itunes, google play, spotify). Search for Rabbi Dovid A. Gross podcasts and subscribe. As a shiur is posted it will automatically come into your app.