awoke out of his sleep
"woke up from his sleep"
the house of God ... the gate of heaven
The phrase "the gate of heaven" explains that this place is the entrance to "the house of God" and "the entrance to where God lives." (See: rc://en/ta/man/translate/figs-doublet)
This is the gate of heaven
This speaks about the entrance to the place where God lives as if it were a literal kingdom that had a gate that someone has to open to let people in. (See: rc://en/ta/man/translate/figs-metaphor)