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The word hour is confused in more than one way. Please note that there are multiple groups on this page.

hour time duration of sixty minutes
our belongs to us

Examples  

The exam takes only one hour, but the time in the waiting room is interminable.
We always cheer for our team, even though it hasn't won a game in months.
hour time period of sixty minutes
are to exist; present tense of to be ; present tense auxiliary form of to be
our of or belonging to us (adjective)

Examples  

Our garden produced all our vegetables this summer.
We think, therefore, we are.1
We are gardeners.
We are planting another garden next year.
We spend many winter hours planning next year's garden.
Notes1
See a dictionary for other definitions and idiomatic usages of to be.