A Type I hood exhausts grease-laden air; that air has to be replaced or the building goes negative and the hood stops capturing properly. Most of the replacement is dedicated make-up air (often ~80–90% of exhaust); the rest comes from transfer air (air migrating from the dining room / HVAC). Keeping the kitchen slightly negative relative to the dining room keeps odors out of the front of house.
First size your exhaust with the hood CFM calculator, confirm you even need a Type I hood with do I need a hood?, and read ventilation & make-up air explained.