If you haven't grabbed the app yet, get Google Currents for Android, or Google Currents for iPhone.
Step 1: Open the app and make sure you're on the Library tab.
Step 2: Swipe through the edition tiles to find the one labeled "Add more" and then press it.
Step 3: Scroll down to Google Reader in the list that loads.
Step 4: You'll see the RSS feeds you're subscribed to through Google Reader. Just press the Add button next to the ones you want to add to Google Currents.
Step 5: You'll probably see a message saying your content is being formatted. Once it loads, you're good to start reading right away.
The end result will appear something like this:
This app is a really fun way to experience online content on your device (sync and download settings allow offline viewing). You can even share an RSS for your own blog, and customize the way your content appears in Google Currents through its content producer.