The integration between Guided Procedures and Web Dynpro ABAP is pretty light at best. I would think you will would have to take one of the GP APIs and wrap them in a web service that you can call from WDA to trigger the start of a GP:
If you are on a new enough release level/support package; it appears that there are already GP web services provided by SAP. You should be able to use these instead:
There are also some Remote Enabled Function Modules for GP that were originally created for the BSP/GP integration. They are in the Function Group - GP_PROCESS_RUNTIME. Specially the function module EUP_START_PROCESS or EUP_START_PROCESS_WITH_FIELDS look interesting. However they aren't documented and they aren't released - so they may not be usable. It might be best to stick with the documented Web Service APIs.
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