How similar is code for a C# Windows App and a C# Web Application?

I am just starting with C#. My background is C++. 

I need to create a stock charting program as a C# application for Windows desktop and a second version as a C# Web Application.  Is the code and capabilities of these two types of applications similar enough that this is possible or is code for the Web Application completely different?

1) For example are there equal UI controls in a C# Windows and C# WebApplication?

2) Charting programs draw on the canvas a lot. Is drawing on a canvas the same in both applications?  

Thanks

Patrick