Being new to German, I am not properly affiliated with the correct grammatical use of gibt es and es gibt. All I know is that they both mean there is in English.
So in what scenarios do I use each one of these phrases correctly?
The German verb has to come second. The first position can be filled with whatever. Thus the phrase "gibt es" can totally be part of statements
As the other answer already mentions, "Gibt es" is the order you'll find in questions.
AND it can be also a colloquial response to that very question:
Lastly, it "gibt es" can occur in sentences that use a verb-first structure to express "if".
"Es gibt X" = "It gives X."
"Gibt es X?" = "Does it give X?"
Keep in mind that "it gives" in German is often more accurately translated into English as "there is." Like, "Es gibt Kuchen" = "There is cake." (Or "Gibt es Kuchen?" = "Is there cake?")