No, it is not correct to write your text like this, and your question is not correct, either. Your question should be written like this:
Is the following text correct?
Now, your text should be written like this:
I did not choose, at first, to enrol on a university course. I decided to begin a career, because a working life would give me the opportunity to experiment with different ways of working and living, and I could then discover what suits me best. My own aim was to understand my interests and skills, in order to gain some pleasure from what I shall be doing. I decided, after considering all my options, to apply to X University.