Yes, the sentence is grammatically correct. It conveys that the speaker experienced a physical reaction (goosebumps) while reading a woman's story, indicating that the story was very moving or emotionally powerful. The phrase "Quite inspiring" emphasizes that the story left a strong impression and motivated the speaker.
Here are a few possible rephrasings:
1. "I genuinely felt goosebumps as I read this woman's story; it was truly inspiring."
2.


