Wa Alaykum Assalam and thank you for your question.
There is absolutely nothing wrong from reciting Quran while listening to a reciter. However, I recommend that you listen to the reciter, read after him then try to read on your own.
It will also be of great help if you have a translation to understand and ponder upon the meaning.
It was narrated from Aisha that the Messenger of Allah (peace be upon him) said:
“The one who is proficient with the Quran will be with the noble and righteous scribes (the angels), and the one who reads it and stumbles over it, finding it difficult, will have a double reward.” (Ibn Majah – Sahih)