Cross Country Skiing (or Nordic Skiing) is a separate sport from Biathlon, and so is Combined even though a couple of them share governing bodies much like track vs roads vs cross country running sports. Athletes could compete in more than one but are rarely successful due to the high degree of specificity.
Skate technique race: skating, just as speed skaters, hockey players, etc. can push to the side alternatingly. This is a great advantage when the trail is evenly groomed, firm, and fast because the skate skier has the mechanical advantage of not having to accelerate and decelerate the foot to be at rest on the ground. Generally, faster the course, the more efficient skating becomes.
Classic technique race: skating is not allowed so one must rely on a method for the ski to grip the snow just as a shoe gives traction. Today's elite skiers are strong enough to double pole with their upper bodies over relatively challenging terrain and still win classic technique races, and it's all legal as long as they don't 'skate' with their legs. Though regulations limiting the pole height (longer helps double pole mechanical advantage in steep uphills) and making courses sufficiently hilly enough has stymied that trend.
Inside Cross Country skiing, there are these races:
Sprint: a qualification round for the top 30 that go into quarters, semis, and finals all within the same day. Relative to the traditional races, it is a sprint, though definitely not compared to track especially when it will take racing 4x ~3 minutes spread across 3-4 hrs in the same day to win a medal. In some ways, this day is more draining than the longer races.
Individual-start race (10k for women, 15k for men): These are time trials where there are no tactics at play. Simply a competition against the clock.
Skiathlon: Half classic technique race then a transition zone to skate technique. Racers switch equipment under the clock just like the triathlon.
Mass-Start Long Distance race: Women 30k and Men 50k. As similar to a cross-country running race as there is.
Team Relay: 4 legs, first two classic and last two skate technique. Women's legs are 5k, Men's are 10k
Spring Relay: 2 racers alternate legs 3x each for a total of 6 legs. Each leg is usually over the Sprint race course. This becomes the "Interval Workout" race as you can imagine. Pacing, tactics, and skillful passing play huge roles. As if that wasn't enough, there's a semifinal round, then the final round in the same day.
Biathlon is hugely popular in central Europe as it's actually very exciting for fans sitting in the stadium and see the shooting. Cross Country has a broader appeal around the world, however, and usually has the fastest skiers. In some countries like Norway, the culture actually sends the best young athletes towards cross country skiing like our culture sends ours to basketball, football, or baseball. If a kid in Norway has good endurance, the parents/teachers send them to the ski club rather than the running team. Combined is a bit on the fringe side, though simply because it has such a limited athlete pool. Only kids that got into ski jumping young and cross country racing, which is actually pretty rarely near each other. This is kind of like the Modern Pentathlon of the Winter Games as ski jumping and cross-country skiing are very different in their physiological demands.