How did Spain see
colonizing and conversion? *

Different
Separate
A unified effort
First come, first served

A unified effort

Explanation:

The Spanish empire believed that they should played an active role in introducing Christianity to the people all across the world.

When they're colonizing a certain territory, the were not doing it for economic benefit alone. They also coerce the people in that colonized territory to adopt Christianity as their faith. (those who rejected it maybe subjected to criminal arrest and punishment)

This is the reason why almost all countries that have been colonized by The Spanish Empire have Roman Catholicsm as their major religion even to this day.