This is not an especially aero bike, although it does have some aero-looking feature (which does not mean it was in fact aerodynamically optimized). There's also nothing about it that makes it inappropriate for climbing.
At the very high end of the bike business, many bike companies offer aero bikes and climbing bikes, the climbing bikes being lighter. But the UCI imposes a lower limit on weight (6.8 kg), and some companies are able to make aero-ish bikes that are right against that limit, so they have consolidated on a single high-end road model.
But even when climbing, an aero bike can confer more advantage than a light bike, so offering a "climbing bike" may be more about catering to rider perceptions than reality. Even a fairly big added weight won't slow you down that much on a climb.
Furthermore, very few of us are riding at such a high level that we can really take advantage of the weight savings of a "climbing bike"—or have pared away all the excess weight from our bodies.