There is zero doubt, due to archaeological and anthropological evidence and scientific evaluation, that alcoholic drinks were consumed with regularity throughout all of human history in virtually all cultures. There is also zero doubt that they drank juice and fermented (alcoholic) juice or wine (and beer) as we colloquially know it, made from a variety of fruits and grains, not just grapes. Fermenting was one of the ways used by man for centuries, indeed for millenia, to preserve food to make it safe for consumption when not in season or when food was scarce, and a natural result of fermentation of most foods is alcohol (sourdough even has minute amounts of alcohol in it, for example).
I imagine they drank wine with varying amounts of alcohol, although everything I have read on the subject implies that generally the alcohol content was low enough to more or less make it safe to drink but it would also make it very difficult to get drunk, per se. Although it is very reasonable to suspect that there were those that purposely did what they could to up the alcohol content for obvious reasons (hence the development of distilling techniques). It is also more than reasonable to assume that Jesus consumed beverages that contained alcohol as at that time it would have been one of the sure ways to get safe water and juice when juice wasn't in season. It is actually more unreasonable to assume that he abstained entirely from alcohol-containing beverages given the state of making liquids safe to consume at that time in history.
