Giving someone a computer doesn't make the user an expert in some area. On this specific case, the main question is whether a child knows how to study.
If she is already able to do lenghty searches for some information in a big encyclopedia, or to read different books in different ways until she understands a concept, then with a computer she might improve her study, by taking electronic notes, searching in electronic resources, using the web, ...
On the other extreme if we give a kid who hates studying a computer, she might just spend the whole day playing some game or refreshing her facebook/hi5/orkut/the-social-net-you-hate-here status.
It is important to give students better tools, but it is also important to teach students how to use those tools. Not doing so is like pretending a computing machine always gives the right result, even when given garbage.