Yes, that is correct; however, I think you have some underlying questions inside of that inquiry.
O₂ is one of the diatomic homo(same)nuclear(atom) molecules, much like N₂, which are both major components of our Earth's atmospheric gas make up, and they are hardly ever found in a gaseous monoatomic form. A major difference is that O₂ is readily reactive, just look at those wildfires in CA roar from the O₂ reactants in the air, but N₂ is highly inert. O, while being technically on the periodic table as AN oxygen atom, is almost never seen in the atmosphere or anywhere else and without fail in every reaction you will ever see with oxygen being used as a reagent will show it as O₂(g). However, you can find its other form O-(aq), the really bad radical form of oxygen that IS monoatomic, think mutations... cancer and aging, pretty commonly found in solutions most especially in physiological liquids of the body! When people talk about antioxidants being good for you, this type of oxygen is the major culprit from which they are protecting you. You can also find the gaseous form of O-(g), but it requires a lightning strike or UV radiation upon O₂(g), and VERY rapidly goes on to form ozone, O3(g). Also, O-(g) is found in the lower orbit of the thermosphere, areas of which can be up to 96% saturated with it! Lastly, just for an aside, there is even solid oxygen O8(s), fun fact.
So, while your written question only asked for a simple answer, it seemed as though you wanted to understand oxygen a lot better, and I hope that now you do :-)
Have a great time in Chemistry! The things you learn will astonish you.