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This is a common issue with climbing hydrangeas. many times it will be reluctant to bloom, if the plant has too many vines to support. You should cut some of the less established vines after the bloom buds stop forming. I noticed the cleome near it is in bloom, which leads me to believe that there is sufficient nutrients in the soil to support blooming. One more option is to apply dolomitic lime to the soil, which will control the pH of the soil, and sometimes that is all that is the issue. Otherwise, if you are in doubt of the fertility of the soil, you may feed with a general purpose fertilizer. Here is a link that will help: https://www.gardeningknowhow.com/ornamental/vines/climbing-hydrangea/climbing-hydrangea-wont-bloom.htm

Sometimes these are just reluctant to bloom, and have dry spells that can last several seasons or years. There are a few things you can do to help out, though. This article will help: https://www.gardeningknowhow.com/ornamental/vines/climbing-hydrangea/climbing-hydrangea-wont-bloom.htm

And Here is an article on pruning them: https://www.gardeningknowhow.com/ornamental/vines/climbing-hydrangea/climbing-hydrangea-pruning.htm

Most of the time, diseases are plant specific. Usually these will not cross over to another species. The best thing to do would be to apply wettable sulfur to the area. This will kill off any infection to the soil. Here is a link that will give you more ways to make your own pesticides at home: https://www.gardeningknowhow.com/special/organic/

If you are growing it in a large bathing tub with a very good drainage hole. And if you grow it in slightly acidic soil that has lots of organic matter and good drainage. If you grow it in a shaded area (preferably a north-facing area), you should do fine, but, you'll need to make sure that you water your hydrangea whenever the soil gets dry--especially during the summer.

I see! This appears to be a climbing hydrangea. Its scientific name is Hydrangea anomola. This article will help you care for it: https://www.gardeningknowhow.com/ornamental/vines/climbing-hydrangea/growing-climbing-hydrangeas.htm

I have answered this in the first update. This seems to be a duplicate.