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The effects of gastric sleeve surgery are:
restricts food intake
controls hunger

Following gastric sleeve surgery, food continues to move through the digestive system naturally, from the time it enters the stomach to the time it is released into the small intestine through the pyloric valve. The difference is that after surgery the amount of food that can be eaten at any one time is greatly reduced.
The surgery also helps to control hunger, because the upper portion of the stomach that produces the hunger stimulating hormone Ghrelin is removed during surgery.
I've gone through the Kaiser Options 12 week pre-op program with the intention of having weight loss surgery, after many years of yo-yo dieting and always gaining back the weight. I'm 56 and I needed to do something very proactive to give me longevity and a more active lifestyle. I got really tired of being sedentary! Tired of needing a belt extender on an airplane, tired of never sitting in a booth in a restaurant!
In the 12 week program, we were expected to lose 10% before being eligible for surgery and put on a restricted calorie diet, mine started at 1400-1700 calories for six weeks, then 1200-1400 for the next six weeks, and after that 1200, which is ongoing while I wait for surgery.
The post op information indicates that the dietary restrictions after surgery, once fully healed, are to eat mostly Protein, then fruits & veggies, then carbs. The new stomach pouch can only hold about 3-4 ounces in the beginning, so this is not much food, but you feel FULL after eating very little, and the stomach is no longer "stretchy". You have to supplement with protein about 80-100 grams per day. This means for most people supplementing with Protein shakes between meals and then meals with high protein as a main component. I can envision having some carbs after surgery, but this will not be my mainstay.
I have lost a good amount of weight even now at 1200 calories and 30 minutes a day of walking and some resistance work and strength training. I take Vitamins everyday and drink at least 64 oz of liquid daily.
Mostly, if you feel better having some carbs in your life, you would be better to switch out to whole grains. I do this by having whole grain crackers, reduced fat triscuit and wheat thins, whole grain bread, brown rice (learned to love this) and whole wheat english muffins, Pasta, etc. Even tortilla chips are whole grain, so I can have my chips and salsa and still lose weight.
In the big scheme, you can't do things the old way. You have to eat healthy and do the work, by monitoring your intake, and drinking Fluid and getting excercise.
The sleeve is a tool not a simple fix.
I'm going for it.