To answer your question more directly Jay, insulin is a powerful anabolic hormone. Without sufficient insulin production, it's impossible to build up stores of fat, glycogen, or even build muscle.
In a situation where you are not producing sufficient amounts of insulin, where dietary source of glucose cannot be used, the condition progresses. Any source of glucose from diet, or gluconeogenesis, or glycogen breakdown from the liver, just result in higher and higher blood sugar. Your cells are starving, so more hormones causing more gluconeogenesis, more glycogen breakdown, more fat breakdown, and more protein breakdown are released. Eventually your cells are relying completely on fat and, literally, cannibalizing the protein from your muscles to fuel themselves. Your blood sugar is skyrocketing, your spilling excess glucose from the blood into urine, and you're going into ketoacidosis because of the huge amounts of protein and fat being metabolized.
Those are the reasons why one of the classic symptoms of T1 diabetes is dramatic weight loss over a short amount of time.
Now, go onto insulin treatment, and you immediately reverse the condition. Cells can use all sources of glucose for fuel again so you stop releasing antagonistic hormones that cause the breakdown of fat and protein. Blood sugar drops because insulin allows you not only to immediately use insulin, but also signals the storage of excess glucose as glycogen and fat instead of spilling it out into urine.
For most people, as posters here have suggested, this results in a fairly rapid weight gain once you start insulin treatment. Now, you will have to manage your diet, activity level, and insulin dosing to match your needs.
The thing you don't want to do is simply cut back on your insulin dosing with hopes that your weight will just drop back down. If you don't balance your carb and protein intake to match, you'll just end up with high BGs again.
It's a dance Jay. What you'll find in this forum are the many ways that PWDs on insulin can successfully find that balance. Whether it's a lower carb diet, lot's of exercise, or some combination, it's what all of us struggle with.