A class is essentially an abstraction.
You have built-in datatypes such as "int" or "string" or "float", each of which have certain behavior, and operations that are possible.
For example, you can take the square root of a float, but not of a string. You can concatenate two strings, or you can add two integers. Each of these data types represent a general concept (integers, text or numbers with a fixed number of significant digits, which may or may not be fractional)
A class is simply a user-defined datatype that can represent some other concept, including the operations that are legal on it.
For example, we could define a "password" class which implements the behavior expected of a password. That is, we should be able to take a text string and create a password from it. (If I type 'secret02', that is a legal password). It should probably perform some verification on this input string, making sure that it is at least N characters long, and perhaps that it is not a dictionary word. And it should not allow us to read the password. (A password is usually represented as ******
on the screen). Instead, it should simply allow us to compare the password to other passwords, to see if it is identical.
If the password I just typed is the same as the one I originally signed up with, I should be allowed to log in. But what the password actually is, is not something the application I'm logging in to should know. So our password class should define a comparison function, but not a "display" function.
A class basically holds some data, and defines which operations are legal on that data. It creates an abstraction.
In the password example, the data is obviously just a text string internally, but the class allows only a few operations on this data. It prevents us from using the password as a string, and instead only allows the specific operations that would make sense for a password.
In most languages, the members of a class can be either private or public. Anything that is private can only be accessed by other members of the class. That is how we would implement the string stored inside the password class. It is private, so it is still visible to the operations we define in the class, but code outside the class can not just access the string inside a password. They can only access the public members of the class.