JavaScript is a client-side scripting language that allows dynamic interactions and effects on web pages. It can be inserted directly into HTML code or linked via external .js files. The DOM (Document Object Model) represents an HTML or XML document as a tree structure, with nodes for elements, attributes, and text. This allows JavaScript to access and manipulate the content, structure, and styling of documents. Common JavaScript objects include String, Date, Array, and Math objects for manipulating text, dates, arrays of values, and mathematical operations respectively.