c#: getter/setter

That is an auto-property and it is the shorthand notation for this:

private string type;
public string Type
{
  get { return this.type; }
  set { this.type = value; }
}

Those are Auto-Implemented Properties (Auto Properties for short).

The compiler will auto-generate the equivalent of the following simple implementation:

private string _type;

public string Type
{
    get { return _type; }
    set { _type = value; }
}

In C# 6:

It is now possible to declare the auto-properties just as a field:

public string FirstName { get; set; } = "Ropert";

Read-Only Auto-Properties

public string FirstName { get;} = "Ropert";

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