Wing Commander is a space combat simulator interspersed with shipboard dialogs. Onboard the ship, you can save/load game, visit the bar to get the latest gossip, or go on to the next mission briefing, and the 3D space combat part.
The 3D space combat has you sitting in the cockpit, where you control the craft like roll, turn, up/down, afterburner, as well as fire guns and launch missiles. There are four different crafts on the Confed side, each with different flight characteristics and armament. You will have a wingman on each mission, and you should keep the wingman alive as the wingman will help you if you issue the right orders. You can also taunt the enemy. You'll be fighting several different types of enemy fighters and capital ships, and even combat a few Kilrathi aces.
When the mission is complete, land back onboard the ship and get ready for the next one. The campaign tree have both winning and losing paths.