If you acquire something, you buy or obtain it for yourself, or someone gives it to you.

If you acquire something such as a skill or a habit, you learn it, or develop it through your daily life or experience.

If someone or something acquires a certain reputation, they start to have that reputation.

If you describe something as an acquired taste, you mean that a lot of people do not like it when they first experience it, but often start to like it more when they get to know it better.