I saw on Google that you may only use Google News for non commercial interest. Does this mean that i can´t put Google News in my blog and the use adsense on that blog? May i put a link on my blog that goes to my website where i sell my software? 2. Use of the Service. You may only display the content of the Service for your own personal use (i.e., non-commercial use) and may not otherwise copy, reproduce, alter, modify, create derivative works, or publicly display any content. For example, you may not use the Service to sell a product or service; use the Service to increase traffic to your Web site for commercial reasons, such as advertising sales; take the results from the Service and reformat and display them, or use any robot, spider, other device or manual process to monitor or copy any content from the Service. If you are uncertain whether your intended use of the Service is permissible, please contact us. In addition, Google shall have the right in its sole discretion to suspend or terminate the Service or your access to it.
In other words, no you can't. You can't provide Google news as content and then get visitors to click Google Adverts.