OpenAI has already positioned itself as a rival to Google Search with the recent launch of ChatGPT search.NurPhoto/NurPhoto via Getty ImagesOpenAI is considering making a web browser, sources told The Information.The browser would be integrated with ChatGPT, according to the report.Google is doubling down on AI for search, too, starting on mobile.OpenAI is eyeing two territories that have long been dominated by Google, according to a report from The Information: web browsing and search.The AI startup is at the early stages of considering the development of a web browser that would be integrated with OpenAI's ChatGPT, sources familiar with the matter told The Information.OpenAI has also approached travel, retail, real estate, and food websites about a search tool that would allow visitors to interact with their sites in the same conversational way a user might interact with ChatGPT, according to the Thursday report.One source who has seen the prototype of the tool told The Information that the new product is called NLWeb, or Natural Language Web.Spokespeople for Google and OpenAI did not respond to a request for comment.Developing a web browser and a search tool would be a bold step into two fields where Google has — for now — a comfortable market dominance.As of August, Google Chrome held about 65% of the global web browser market share, according to Statista, a data analytics firm.