Hi IW :o)
Diverticular disease of the end part of the colon is common in the developed world (there's a prevalent theory that it's down to lack of dietary fibre, but no real clinical trial evidence for this and it could just be a genetic variant) and it occurs when the inner lining of the bowel forms little pouches that extend into the muscle wall of the bowel. Sometimes the neck of these little pouches gets pinched shut or blocked off and then infection can develop and you get diverticulitis, which, as you discover, is a medical emergency and can need surgery or intravenous antibiotics.
The condition develops gradually and most people who have it never find out because they have no symptoms. I was taught that 70% of people in the UK have diverticular disease by the age of 70, but I don't know if that's supported by evidence. In people who DO have symptoms, the commonest are irritable-bowel type tummyache and constipation, diarrhoea and/or bloating, but finding diverticula in someone who has those symptoms could be co-incidence.
There's no need for special dietary precautions apart from avoiding anything that you know upsets your insides, and I hope you never have another episode like the one that put you in hospital.