Yes, the personal name of God is Allah.
This was revealed only after Islam was chosen by God as the final religion for mankind.
Allah is the name of the Supreme Being Who is the sole possessor of all perfect attributes and is free from all defects.
Every chapter of the Holy Quran starts with:
In the name of Allah, the Gracious, the Merciful. (1:1)
Muslims recite this short prayer to seek God’s blessing before beginning anything.