After surgery should I be eating small meals throughout the day?

No, you should not. You should maintain the normal habit of eating three solid meals a day. Eating lean meat and green leafy vegetables in appropriate quantities will give you the full sensation that lasts from one meal to the next, without the need to snack or graze in between. Snacking or grazing can defeat the objective of food restriction created by surgery, and lead to insufficient weight loss, as well as later weight regain.