Database right is a special type of legal protection given to people or organizations that make and maintain databases. Imagine a big box with lots of little boxes inside it. The big box is the database, and the little boxes are the pieces of information inside it, like a list of everyone's names and phone numbers.
So when someone spends lots of time and effort to make and organize that database, they get a special right to control who can use it and how it can be used. It's like they made a puzzle, and they get to decide who they let play with it and in what way.
For example, if you're a business and you keep a database of all your customers' information, like their names and addresses, you have the right to control who can use that information. You might give some of it to your employees to use for work, but you wouldn't let just anyone look at it or share it with other companies.
This right is important because it helps protect the people who put in the hard work to make and maintain databases. Without it, anyone could just copy and use all that information without asking or giving credit. And that would be like someone just taking your toy or game without asking, which wouldn't be very fair, would it?