Twitter accounts have RSS feeds which can be added to an RSS reader.

If your twitter URL is http://twitter.com/!#/yourname, then to find the RSS autodetection URL, remove the "!#/" part of the URL.

Therefore, the RSS autodetection URL for http://twitter.com/!#/yourname is http://twitter.com/yourname

To add a twitter feed to your RSS reader, click 'Add widgets' and then 'Add a twitter feed'. Then simply enter the twitter username, click Go and you'll be able to add that twitter account from your page.

twitter rss

To get started with RSS, use this free RSS reader