The classes in this namespace won't suffice. You can do some things with System.IO.Packaging, but it is not intuitive or easy. There's a nice, free third party library though, that will let you create, read, extract, and update ZIP files. DotNetZip.
http://DotNetZip.codeplex.comIt does regular ZIP files very easily. You can create or read ZIP files in WinForms apps, WPF apps, ASP.NET apps, mobile device apps, and more. It works with VB or C# or any .NET language. It's fully managed code. A single DLL. It supports Unicode, password protection, AES, streaming, ZIP64, file and archive comments, and more stuff. You can add or extract files by name. Or by wildcard. You can add or extract files based on file attributes, file size, or even file time. It has an easy-to-use eventing model. Full documentation in chm format. And the compression is very good.
There's even a nifty little GUI tool that you can use to create zip files. It's a good replacement for WinZip - all based on the DotNetZip library.
Check it out.