Gdiplus::Bitmap is a C++ class, it is declared in the <GdiPlusHeaders.h>
Windows SDK header file. It is a wrapper class to make the rather unfriendly low-level GDI+ C interface easier to use. System.Drawing.Bitmap is not a direct substitute for this C++ class, it is also a wrapper class around the low-level GDI+ api but written in C#. It has no relationship at all with the C++ wrapper. Using the HBITMAP you get from Bitmap.GetHbitmap() will not work either, that's a handle, not a C++ object.
You cannot call this function directly from C#, pinvoke does not support creating C++ objects. You will need to write a ref class wrapper in the C++/CLI language. A language that supports both writing managed code and calling native C++ code without pinvoke. And you can #include <gdiplus.h>
as necessary so you can create the Gdiplus::Bitmap object. Another approach is to create a DLL using C++ that has two exported functions, one that creates a Gdiplus::Bitmap and another that destroys it. That will let you use pinvoke, declaring the argument as IntPtr instead.