With training, there are two different parts to focus on:
1. Cardiovascular fitness.
2. Muscle strengthening.
Cardiovascular fitness is the ability for your heart and lungs to supply oxygenated blood to your muscles during exercise under load, and your muscles ability to use that oxygen efficiently so they can produce energy.
Exercises should be used which will allow you to hit a target heart rate zone, over a for a period of time during exercising, which provides the needed aerobic effort for conditioning. This is a website which will help you calculate what your target heart rate zones will be.
https://www.lifespanfitness.com/fitness/resources/target-heart-rate-calculator
Treadmills at incline, running, walking at a faster than normal pace, walking up hills, rowing machines, HIIT (High Intensity Interval Training) workouts, riding a bicycle at a faster than normal pace, swimming, etc. are all examples of effective aerobic exercises when used to achieve target heart rates.
Keep in mind that as your fitness level improves, it will take a more sustained effort to hit the same heart rate zones. That is why using target zones is so effective. They don't change relative to fitness level. Someone extremely out of shape does not exercise as hard as someone who is extremely fit to reach their target.
Muscle strength is a function of how much maximum force your muscles can exert against resistance. Exercises for strength will
also provide a temporary aerobic effect, but the main goal is to increase your capability to function while under resistance.
Think about having to lift the weight of your body, with a pack, with each step going up the Pyrenees. Or being able to lift and carry a load. Or the constant resistance of your body weight and pack to your shoulders and to the 'core' muscles in your back and abdomen.
Some basic strengthening exercises for home include push-ups, lunges, squats and planks. A google search will show you the way to do these exercises.
Other conditioning issues involve things like ankles, feet, and flexibility. Do a search on this forum for posts about exercises to help prevent shin splints and to help prevent plantar fasciitis.