I think people would understand what you mean. But I would normally say "我想知道你戴眼镜是什么样子".

从语言逻辑上看，有些不妥。”我想知道你戴眼镜会看起来长得什么样” 可以这么说”我想知道你戴眼镜什么样”

It can be understanded but not natural. ”我想知道你戴眼镜会是什么样子” is better.