I don't know the native way to express the meaning I put on the title, hope some friend here can help me ~~
If it is a quick look you can go with
Glance(Merriam-Webster Dictionary) to take a quick look at something.
Skim (Merriam-Webster Dictionary) to read, study, or examine superficially and rapidly
Scan (Cambridge Dictionary) to look through a text quickly in order to find a piece of information that you want or to get a general idea of what the text contains
Example sentences would be "Every morning I skim the news on CNN."
Other verbs such as "view" or "check" are also used commonly. It varies from person to person. There is no single preferred verb for this action.