It hurts to use lubrication for sex in side my vagina, is that normal?

No. Does it burn? Is it deeper? You may have a bladder infection causing tenderness, use an oil based lube, it's coming from either the bladder or vaginal skin (mucosa) due to the lube. These are your 2 biggest issues if not a yeast infection or heavy vaginal discharge. Good luck, get seen if not improving.