Creating objects in C# out of XML using LINQ

Hey so I'll start out by saying this is for an assignment...I have to create a console-based shopping cart that loads and saves to an XML file.

I can't quite work out how to load the XML file into objects/what the best way of doing this is....

 class Product
{
    public int RecordNumber { get; set; }
    public String Name { get; set; }
    public int Stock { get; set; }
    public int Price { get; set; }       
}
 class Cart
{

    public List<Product> items
    {
        get { return items; }
        set { items = value; }
    }

    public Cart() {}  //Right way to do constructor?

    public void AddProduct(Product prod)
    {
        items.Add(prod);
    }

    public void RemoveProduct(Product prod)
    {
        items.Remove(prod);
    }
}

static void Main(string[] args)
    {
 XDocument XDoc = XDocument.Load("inventory.xml"); // Loading XML file
        var result = from q in XDoc.Descendants("product")
            select new Product
                {
                    RecordNumber = Convert.ToInt32(q.Element("recordNumber").Value),
                    Name = q.Element("name").Value,
                    Stock = Convert.ToInt32(q.Element("stock").Value),
                    Price = Convert.ToInt32(q.Element("price").Value)
                 };

XML file is set up as follows (theres ten entries of products):

 <product>
    <recordNumber>1</recordNumber>
    <name>Floo Powder</name>
    <stock>100</stock>
    <price>5</price>
</product>

I have two questions here...Is my main method loading the XML file and creating 10 objects? If so, how do I access these objects?

Secondly, I was going to be adding Products to the cart, and then reducing the 'stock' figure, but when I think about it that seems wrong. Should I be creating an object for every single one of the stock available, and then adding them to the cart? Any advice on how I might be able to do that instead then?

Thanks so much!!