No, are you trolling? I was hardly the only one on this post who didn't get ads for that search. You are the first person to mention the mobile version of any browser so I did the same search with Chrome on Android using DDG and... Gee, the Google Chrome website is still the first result. The only time I got an ad was with the Canadian version of Bing. Note, I am using the DDG website NOT the app or extension.
Common sense would dictate that Google would NOT be selling AdWords that would replace THEIR own ad for the top search result for their own products.
EDIT: Wait, you are talking about Duck Duck Go? This thread is about Google.com NOT DDG. Regardless, I get Google's official site at the top with DDG.