Why did He make us for His glory?
For fun.
To celebrate.
A child riding a trolley down a slope or dancing in a meadow says, "Daddy, look at me! Look at me!" The child knows intuitively, a delight shared is a delight doubled.
A glorious sunset delights the heart. Seeing it, we give glory, we share in the beauty.
Rapturous applause celebrates the shared experience of the performer's art. To sing, to dance and know the audience are one with you, living the experience with you, through you, to explode in exultation at the end ... have you ever seen performers applauding as enthusiastically as the audience? That sense of shared celebration is the greater reward of the gift.
When our God created a butterfly, that was an act of amazing beauty. To create nearly 20,000 species of them ... that is a hint of why He created us in His image to share His nature and His delight. Worshipping God is the ultimate experience of truth.
And worship to glorify the Father, Son and Holy Spirit is the greatest multiplier of sheer joy and exultation we can ever experience. Heaven is a wedding feast: joyous fulfilment and tremulous expectation present with each other, forever. And this is our chance to get ready.
Why did He make us for His glory? In the end, I do not know. The fact that He did is glorious.
Here, ambiguity and inconclusiveness are part of the thought. I want to leave that as it is. Our response to the Bible needs to be at least as nuanced as our response to any other love letter.
The Bible, however, does not say God wants us to give Him glory. In Isaiah 43:7, 'kabowd' means 'glory, honour,dignity, splendour' (Strong's Concordance 3519). The Oxford Dictionary gives 'high renown or honour; magnificence or great beauty; splendour'. We cannot give glory to God in any literal sense; it is already an attribute of His. All we can do is acknowledge the fact.
What God does desire–even assume–is our worship (Exodus 20:3, 5a; Psalm 95:6; John 4:23). This is a contraction of 'worthship', wherein we acknowledge His worth. In desiring our worship, God is desiring that we acknowledge the truth and that is truly liberating.
In fact, by nature, God entails the worthiest of every good value. Thus, whenever we speak truly of God's attributes, including His glory, we implicitly acknowledge His worthiness. That is, we worship Him. As emotional beings, we add our own "Wow!" factor and underscore the thought with our feelings—extremely enjoyable.
I guess the question and my initial response are more accurately about that worship. Isaiah 43:7, however, declares we are expressions of God's glory, created as illustrations of His glory.
We feel uncomfortable presenting ourselves as glorious. But that is the truth of our creation. The older Babylonian accounts say we were made to be slaves to the gods. The Bible says we became slaves only after we chose autonomy (coming under self-rule, the realm of Satan: Genesis 3:4-6; John 8:34; Romans 6:6). In Jesus Christ, we return to our original state of majesty and dignity as living expressions of God's glory (2 Corinthians 5:17; Romans 6:5). That is a great responsibility, to be zealously guarded.
The Oxford Dictionary further defines glory as 'reverence'. Any logical distinction between God's attribute and our response we forget when awareness becomes worship as we pray, "Glory be to the Father, and to the Son, and to the Holy Ghost; as it was in the beginning, is now, and ever shall be, world without end. Amen" (Doxology, Anglo-Lutheran style).