If a majority of the branches are gone, the tree may have little chance of surviving. In species where a leader is important to upward growth or desirable appearance, this is a judgement call. The tree may live without its leader, but at best would be a stunted or deformed version of the original. This is a good rule of thumb on tree survivability. An older tree with less than half of its branches remaining, may not be able to produce enough foliage to nourish the tree through another season.
Younger trees stand a much better chance.
The remaining limbs will grow more vigorously as the tree tries to replace its missing foliage. Look to see if branches are in place that can eventually fill out the tree's appearance. While new branches may sprout and grow, they will be weakly attached and run an even bigger chance of coming down in the next storm. Specialists at the state agency can put you in touch with trained tree specialists who can advise with you on proper pruning techniques.