I wonder if you let me know if this sentence is written correctly

1. what are you trying to determine?

2. no , that phrase/sentence does not make sense. What are you trying to say?

Oh thank you ehBeth
I was disappointed to find my answer. thank uuuu
1- first I want to know that in this sentence: "I wonder if you let me know if you have a vacancy" using two if is not kind of Inglish? I mean is it grammatically correct?
and then my second question that is more important to me:
2- usually bachelor of science takes 8 term to complete. But I excelled and got it in 7 terms and straightly qualified for master of science. I want to bring it in my resume (as a PhD applicant) . I am confused how to write it briefly. could you please possibly help me!!
thank you deeply.

What kind of vacancy are you asking about? apartment/hotel/what?

What do you mean by straightly qualified? that's not terminology used here

and moreover in the first sentence I am trying to ask a professor whether he has a vacancy for me or not. I mean a PhD position. what is your opinion about this sentence?
"I wonder if you could possibly let me know if you have an open PhD position."

vacancy : open PhD position
Straightly qualified: I passed the MS exam one term sooner than what I was supposed to. for many it takes 8 terms to complete BS and 2 terms to prepare themselves for MS exam but for me the whole this process took 7 terms. can you help me briefly state it?

Okay. Sounds like your academic system is quite different from what we see in North America. There is no general MS exam, and people don't usually write to ask about PdD spots.

I'll take another look at your sentences with your clarifications in mind.

Please let me know if you have any openings in your PhD program.

I completed my BS and the MS exam within 7 terms.

our grad program application process looks like this (one university example)

https://www.uoguelph.ca/graduatestudies/future/applying-guelph

you apply online
no enquiry letters etc

Thanks from deep my heart.
I hope see you again.
You are a beautiful flower.
Actually I thought it is better to firstly speak with professors of different universities and find a suitable vacancy and then apply for the university.

and one more question please.
somebody remarked me that it is better to start formal requests with: "I wonder if you......". But I saw you simply said:" please let me know..."
Is it better not to start requests with " I wonder if you... ". I feel it is too formal!