Write a Class to represent one of the following items. Note that each class must a proper constructor even though the constructor is not explicitly named.

2. Student that has a name, point and course count. The class should
have methods that can:
(a) add a grade to the GPA and GPA should be calculated and returned appropriately,
(b) create duplicate of itself and
return that duplicate, and
(c) see if another student has the same name and GPA as itself and return True or False appropriately

To represent a Student class with the required methods, you can use the following code in Python:

```python
class Student:
def __init__(self, name, point, course_count):
self.name = name
self.point = point
self.course_count = course_count

def add_grade(self, grade):
self.point += grade

def calculate_gpa(self):
return self.point / self.course_count

def create_duplicate(self):
return Student(self.name, self.point, self.course_count)

def compare(self, other_student):
if self.name == other_student.name and self.calculate_gpa() == other_student.calculate_gpa():
return True
else:
return False
```

Here's how you can use the Student class:

```python
# Creating two Student objects
student1 = Student("John", 85, 5)
student2 = Student("Jane", 90, 6)

# Adding grades to student1's GPA
student1.add_grade(80)

# Checking student1's GPA
gpa = student1.calculate_gpa()
print("Student 1's GPA:", gpa)

# Creating a duplicate of student1
duplicate_student = student1.create_duplicate()

# Comparing student1 with duplicate_student
is_same = student1.compare(duplicate_student)
print("Is student1 the same as its duplicate?", is_same)
```

This code creates a Student class with properties like name, point, and course_count. The `add_grade` method adds a grade to the student's accumulated points. The `calculate_gpa` method calculates and returns the GPA based on the accumulated points and course count. The `create_duplicate` method creates a new Student object with the same properties as the original student. The `compare` method compares the name and GPA of two students and returns True if they are the same, and False otherwise.