Not sure anyone can give you a good answer with this level of detail buddy. $1 for an app? $1 a day? What kind of news? In what way will it be personalised?
I’d say if you mean a news aggregator, it sounds unlikely.
A kind of service where you choose your areas of interests; we curate, summarize news article based on your interests, and send you a page link to read those summaries with links to original articles.
There's a few such services that exist right now - doesn't mean you can't be better than them but worth noting! Only one that springs to mind is https://feedly.com
I'm not sure HN is going to be a super effective research tool for you with this. Have you thought about making a few basic mockups and putting them in front of people?