“Question Generation” is now a scientific discipline in its own right [1]. I have previously made a number of quick and dirty Meta Guide webpages on “Question Generation” [2], “Question Generators” [3], and “Question Generator Module” [4]. However, there is a huge difference between a computer making questions and a computer “feeling the hunger to learn”; though, I can imagine a scenario in which a computer would even frantically pursue knowledge about something it did not already know about.
[1] http://www.questiongeneration.org
[2] http://www.meta-guide.com/home/bibliography/google-scholar/question-generation
[3] http://www.meta-guide.com/home/bibliography/google-scholar/question-generators
[4] http://www.meta-guide.com/home/bibliography/google-scholar/question-generator-module