Николай Богданов

По ссылке хорошо расписано, вот основной пример про разницу между модификаторами override и new:

using System;  
using System.Text;  

namespace OverrideAndNew  
{  
    class Program  
    {  
        static void Main(string[] args)  
        {  
            BaseClass bc = new BaseClass();  
            DerivedClass dc = new DerivedClass();  
            BaseClass bcdc = new DerivedClass();  

            // The following two calls do what you would expect. They call  
            // the methods that are defined in BaseClass.  
            bc.Method1();  
            bc.Method2();  
            // Output:  
            // Base - Method1  
            // Base - Method2  

            // The following two calls do what you would expect. They call  
            // the methods that are defined in DerivedClass.  
            dc.Method1();  
            dc.Method2();  
            // Output:  
            // Derived - Method1  
            // Derived - Method2  

            // The following two calls produce different results, depending   
            // on whether override (Method1) or new (Method2) is used.  
            bcdc.Method1();  
            bcdc.Method2();  
            // Output:  
            // Derived - Method1  
            // Base - Method2  
        }  
    }  

    class BaseClass  
    {  
        public virtual void Method1()  
        {  
            Console.WriteLine("Base - Method1");  
        }  

        public virtual void Method2()  
        {  
            Console.WriteLine("Base - Method2");  
        }  
    }  

    class DerivedClass : BaseClass  
    {  
        public override void Method1()  
        {  
            Console.WriteLine("Derived - Method1");  
        }  

        public new void Method2()  
        {  
            Console.WriteLine("Derived - Method2");  
        }  
    }  
}

string s = await AccessTheWebAsync(123); либо string s = AccessTheWebAsync(123).Result;. Если задача не завершена, вызов Result заблокирует текущий поток до момента завершения задачи.