Why are the lists list1Instance and p in the Main method of the below code pointing to the same collection?
class Person
They aren't pointing to the same .Net collection, but rather, to the same Person objects. The line:
List p = new List(list1Instance.Get());
copies all the Person elements from list1Instance.Get() to list p. The word "copies" here means copies the references. So, your list and IEnumerable just happen to point to the same Person objects.
IEnumerable is always readonly, by definition. However, the objects inside may be mutable, as in this case.