Your REALTOR® and the buyer's agent coordinate access for the inspection, if there is one, usually within the first several days. Meanwhile both lawyers exchange information to begin the title and closing process through Information Services Corporation, well before the conditions are actually removed.
Nothing is truly final until every condition is removed in writing. Until that happens, either side can still walk away under the terms of the contract, which is why sellers should not treat an accepted offer as a done deal until the condition period has actually closed out.
Joel Dyck manages this window closely so conditions get removed on schedule instead of quietly slipping. Get your hand-reviewed valuation from Joel Dyck.