Please notice the option to Add a Subscription in case you don't see a visible Subscribe to Blog icon on the blog you want to subscribe to. All you have to do is copy the webaddress of that blog, then paste it into the box you see.
On the left side of the Google Reader page a list of all of your blog subscriptions is displayed. If you click on one of the links, you can read the updated information right from your Reader page. To view the full blog, just click on the title and you will be taken to it.