You are talking to a person you just met at a party. You're telling him about your job and your career goals. You say:
My long-term goal is to open my own restaurant.
A "long-term" goal is a goal that someone plans to achieve several years in the future. Usually we think of a long-term goal as something that will happen in about 2-15 years.
Of course, you can also talk about a "short-term goal", which is something you want to accomplish in a few weeks or in a year or two.
When you describe your goals, you say "my goal is to ___":
My goal is to have it finished by the end of July.
You can also use similar words like "dream" or "plan" in the same way:
His lifelong dream was to become a writer.
My plan is to get into law school and study Environmental Law.
Use the word "open" to describe starting a store or restaurant:
Did you see that they opened a new Apple store near Lincoln Center?
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