Honestly, it's not that complicated. The site publishes a feed, and you can use any RSS reader to consume that feed. Some readers are out in the cloud, others are self-hosted as services, yet others are client-side applications.

In general, most blogs and major news sources, along with aggregators like Reddit and Hacker News, publish RSS feeds. It's basically the way I consume content on the web.

If you want to give it a try I'd recommend Feedly.