This is how to register Google Adsense.
You need to have a website or weblog with good looking and some visitors, you need to make some articles on it, those articles should be good, not only copy/paste from somewhere, it means you need to make articles by yourself.
After some articles done, then make sure your website or weblog is safe to be visited (no virus or spyware). Then just follow the rules (Here is the simple rules explanation how to playing Google Adsense very safe: http://www.vektanova.com/2009/08/simply-google-adsense-rules-explanation.html).
You need to wait from 1 up to 48 hours to wait Google Adsense confirmation for your blog. If your website or weblog is accepted by it, you will able to use its ads to be put on your website or weblog. If Google refuse, you need to recheck again your website or weblog and make sure everything is okay, then register again.