What are differences between tree data structure and composite design pattern?

I'm designing a product category management feature for my project. Basically, a product category has got the following properties:

• ID
• Name
• Parent category
• Child categories

Now I want to display all product categories as a tree view on the UI. It looks like:

• Electric devices
  • Computer
    • Desktop
    • Laptop
    • Server
  • Smart phone ...
• Clothes
  • Men
    • Jean
    • Shirt
  • Women
    • Dress
• ...

Currently, I'm designing a class ProductCategory using tree data structure to represent the whole product category tree as below:

public class ProductCategory
{
    public int Id {get;set;}
    public string Name {get;set;}
    public ProductCategory Parent {get;set;}
    public List<ProductCategory> Children {get;set;}
}

I don't know whether composite design pattern can apply to this case or not?

What are differences between tree data structure and composite design pattern?

Thanks

Tuan