look around
To look carefully at everything nearby or in a place.
Look around means to turn your head and eyes in different directions to see what's nearby or to search for something. When you walk into a new classroom on the first day of school, you naturally look around to see where you might sit, who else is there, and what the room is like. When you've misplaced your library book, you look around your room, checking under papers, behind your desk, and on your bookshelf.
The phrase suggests taking time to observe your surroundings carefully and thoroughly. A detective arriving at a mystery scene would look around for clues. An explorer entering a cave would look around before going deeper.
Sometimes people use this phrase to mean exploring or browsing without a specific goal. If you're just looking around in a bookstore, you're wandering through the aisles to see what catches your interest rather than searching for a particular title. When hikers reach a mountain summit, they often look around to take in the view from every direction, appreciating what they worked so hard to reach.