You're writing a letter of recommendation for a former employee who is applying for a new job. You have finished writing most of the letter, and this is how you conclude it.
If you have any questions regarding Adele or her performance, please feel free to contact me.
"Questions regarding ___" means "questions about ___". "Regarding" is a more formal version:
I have a question regarding my bill. Is there someone I could speak to about it?
The word "performance" refers to how well someone does something. People often talk about a person's "job performance", which is how well someone does their job:
I've been extremely satisfied with his job performance.
In the example at top, the writer doesn't use the phrase "job performance", but that is the kind of "performance" she is talking about. The sentence means "If you want to ask about Adele or how well she did at her job, please contact me.
When you want to give people permission to do something, you can say "feel free to ___." This is a formal phrase that you usually use with people you don't know very well, or with large groups:
Feel free to take one if you want it.
The phrase "feel free to contact me" is really common.
To "contact" someone means to call, email, or send a letter to them. Those words are all specific, but "contact" can mean all three.
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