Of course a touring bike with Reynolds frame will climb better than a comfort bike.
From the spec sheet,
Weight:
How much does this bike weigh? It’s a common question, and rightly so. But the truth is, there are no industry standards for claiming bike weights—and this leads to a lot of misinformation. Variances exist based on size, frame material, finish and hardware. And as bikes get lighter, these differences become more critical. At Giant, we believe the only way to truly know the weight of any particular bike is to find out for yourself at your local retailer.
Haha, talk about dodging the question. Why put weight in the spec sheet if you aren't going to tell the weight?
If you can lock out the fork, that might help.
Other things you might try; Swap out the fork for a rigid fork, get a lighter wheelset and lighter tires. Rigid seatpost, lighter saddle... or sell the bike and get a lightweight hybrid. All hybrids aren't like yours. The Cypess is a nice bike for cruising around on and has the gearing to get most riders up most hills, but I wouldn't tour through the Alps on one.