I am trying to find any information I can get about a French Style
Bean, which was hybridized by my grandfather in Holland after WWII.
I am having no luck - likely because my inexperience in searching the
Net.
Approximately, how much would you charge for such a search?

Thanks for your interest. I hope one of us will be able to help you.

Here are the pricing guidelines:

https://answers.google.com/answers/pricing.html

You may be misled by the term "french style" bean. In cuisine, "french
style" is a method of preparation. That is: green beans that are cut
lengthwise.

The french term for green beans is "haricot vert" so you might search
using that term.

Another poplar french bean is the flageolet. 

I would recommend that you search for info about your grandfather's
work first, though, rather than starting with the bean.