1. To inspect closely; to observe narrowly; to examine.
2. To look into the works of nature; to look into one's conduct or affairs
3. To inspect closely; to observe narrowly; to examine
4. When you look into something or look into doing something, you investigate it or get more information about it.
To investigate something; to look into something in order to judge it.
When you are upset about a change or a new policy, and you want to say that you will take some action or talk to someone in authority to prevent or reverse the change or new policy, you say "I'll see about that" or "We'll see about that."