@Greatest I am,
That is an EXCELLENT question!
Please keep in mind that at the time of this conversation, Moses was 80 years old. He had spent four decades exiled from his people, the Israelites, who were slaves in Egypt. One day, while tending his father-in-law’s flocks, he saw a strange phenomenon. A thornbush was on fire, but it was not being consumed. It just kept burning, shining like a beacon on the mountainside. Moses approached to inspect. How startled he must have been when a voice spoke to him from the midst of the fire! By means of an angelic spokesman, God and Moses then conversed at length. And, as you may know, God there commissioned a hesitant Moses to leave his peaceful life and return to Egypt to deliver the Israelites from slavery.You can read this account at Exodus 3:1-12.
Now, Moses could have asked God any question whatsoever. Note, though, the question he chose to ask: “Suppose I am now come to the sons of Israel and I do say to them, ‘The God of your forefathers has sent me to you,’ and they do say to me, ‘What is his name?’ What shall I say to them?”—Exodus 3:13.
You might find that odd, for Moses already knew God’s personal name, since God's personal name was commonly used by the ancient Isralites. That question teaches us first of all that God has a name. We must not take this simple truth for granted. Yet, many do. God’s personal name has been removed from countless Bible translations and replaced with titles, such as “Lord” and “God.” This is one of the saddest and most reprehensible things that has been done in the name of religion. After all, what is the first thing you do when you meet someone? Do you not ask his name? It is similar with getting to know God. He is not a nameless, distant entity, beyond knowing or understanding. Although invisible, he is a person, and he has a name—Jehovah. Many Bibles actually have this name in print at Psalms 83:18. Why not look in your Bible to see if it is there?
Furthermore, when God reveals his personal name, something great and thrilling is in the offing. He is inviting us to come to know him. He wants us to make the best choice we can make in life—to draw close to him. But Jehovah has done more than tell us his name. He has also taught us what it means.
Moses evidently wanted to learn more. Really, in asking God’s name, Moses was asking about the person represented by the name. In effect, he was saying: ‘What can I tell your people Israel about you that will build their faith in you, that will convince them that you really will deliver them?’