The Neo4j Browser is a familiar and comfortable way to interact directly with your new graph database, allowing you to connect to the database via `localhost:7474`. To access Neo4j programmatically, you can use the REST API or language drivers for your programming language of choice. The Neo4j-JDBC driver supports JDBC APIs, while Spring Data Neo4j provides fast and comprehensive object graph mapping, along with support for Spring conversions, transaction handling, and more. Leveraging connected data relationships are where graph databases shine, capturing rich relationship information in a way relational databases never can, and allowing businesses to match changes in their database schema with the speed of business agility.