From the main tab in Patreon you can view the latest updates for all the creators you follow or support. Tapping any of the updates lets you read it in full or access any additional content in the post.
From the search tab you can try to find new Patreon pages that interest you. To do so you'll have an option to filter by genre so you can, for instance, just see gaming-related Patreon pages.
Patreon is a very useful app for both sponsors and content creators. Thanks to this official app it'll be much easier to access all the content on this most popular of online patronage networks.
Requires Android 4.0 or higher.