Minimal research by a user depends on the nature of the question. For something that can be considered a beginner type question or "newbie" type question, I expect to minimally see some mention of the findings from a basic lookup of information (Google, Wikipedia, whatever website) and have the question try to delve into something deeper.
If the asker can't answer the idea of the question, "What have you tried?" then leaving comments and guiding the user (try not to clutter the comments too much) to figure out something on his or her own would be a start. Doing so will also prevent questions where people come in and will ask questions in the vein of, "Oh shower me with your information!" without putting thought into what they really want to ask.
Indeed there are questions that can be too general and basic, nothing that a short and simple search would return. While having elementary information on our site isn't necessarily bad, those questions don't tend to be very good within Stack Exchange. The purpose of the site is to really draw out the better and interesting topics, and the questions and answers should reflect a higher quality than what you would see elsewhere.