Final answer:
Web browsing is the correct verb phrase that describes the action of exploring or navigating the Internet in search of information on various websites.
Step-by-step explanation:
The correct verb phrase that describes the action of exploring or navigating the Internet in search of information, often associated with casually browsing various websites is Web browsing. Web browsing refers to the process of using a web browser to access and navigate websites on the World Wide Web. It involves searching for information, reading articles, viewing images, and watching videos on different websites.