1. You never miss a blog post from your favorite sites.
Once you subscribe to a feed, your feed reader will make sure that you see every new post from that feed. Whether you want to read your websites once a week, once a day, or every ten minutes, any unread items will be saved for you.
2. You can scan a ton of articles quickly.
When using a feed reader, you can quickly filter through the articles that you don't want to read. When surfing the web, you have to shuffle through different interfaces, type in web addresses, and surf bookmarks. This takes a ton of time. It’s much better to have the content you want delivered to you than to have to go find it every time you get online.
3. Melting-pot learning.
One of the great side-effects of using a feed reader is that you begin to learn about various memes in a melting-pot fashion, where ideas flavor each other. You'll learn new ideas over time, and understand the relationships between them.
4. You can save articles for later.
Feed readers allow you to save articles to read for later. In Google Reader, you can put a star next to items you like and come back later to read them in full. You can also tag articles and search for them later.
What is an RSS Feed?
What is Google Reader?
I would highly suggest using Google Reader. It's getting better all the time and is incredibly easy to use.
Subscribe to "...all things new" feed.