Step 1: Identify the compound.
Terpineol is a monoterpene alcohol found in many essential oils and perfumes. We must match its structure.
Step 2: List its key features.
Terpineol has a six membered ring (cyclohexene), one carbon-carbon double bond in the ring, a tertiary alcohol group, and methyl branches.
Step 3: Use the carbon count idea.
As a monoterpene it is built from ten carbons, so the right structure should have that skeleton with an isopropyl type group bearing the OH.
Step 4: Reject the wrong rings.
Any choice missing the ring double bond or missing the tertiary OH cannot be terpineol.
Step 5: Match the correct one.
Comparing each option to these features, structure 1 fits all the requirements.
Step 6: State the answer.
\[ \boxed{\text{Structure 1}} \]