Is a vision the same as a goal?

No, it is bigger than a goal, although your vision will be made up of lots of goals. A
vision which has been well defined will almost certainly have to be broken down into
smaller goals. So to bring a distinction between them, a goal will be a task which you
work towards on your way to achieving your overall vision.
A vision is a much grander version of a goal, an example of a vision would be to become
a jazz singer and release your own album, to make a million dollars within 3 years, to
become a property developer and become financially independent, to become a hair
stylist and own your own salon, to help people living in poverty by building new schools,
to write a science fiction novel, to own and run your own restaurant, to become your ideal
weight and be healthier than you have even been before, to live in a big house with a
balcony overlooking the sea, to start your own publishing company.
A goal is something like to lose 4lbs in the next few weeks, or to find a new job, be aware
that there is a difference between them, similar yes, but not the same. If your vision was
to become a singer, there would be many goals involved in such an undertaking, such as
learning how to write your own songs, finding a producer, taking singing lesions, visiting
a vocal coach etc.