You would "receive recognition" for something significant that you did, or something you did better than others. A recognition is close to an award. Lexico says
2.1 Appreciation or acclaim for an achievement, service, or ability.
his work was slow to gain recognition
she received the award in recognition of her human rights work
So I think it is a poor choice of word, implying that you think you might be better than the other applicants for the program, or deserve to be noticed. I would rephrase the sentence something like this
I very much hope to get a place on your course/program.
although obviously there will be more than just that in the email.