This is a phrase that is often used to express a request or a polite suggestion.
It implies that the speaker would like the person they are speaking to to do something, but that the request is not a demand.
It can be used in many different situations, but it is most commonly used in informal or casual conversations.
For example, you might say, "If I could just get you to take a look at this document, I would really appreciate it," or
"If I could just get you to give me a ride to the airport, that would be great."
If I could just get you to...
Could you please...
Could/ Would you do me a favor?
Could you possibly...
Would you mind...
Could I trouble you to...
Could you give me a hand?