Doctor said I had a UTI infection and its normal for it to burn when you pee with a uti. But I feel as if I have actual cuts down there any ideas?

UTI. You need antibiotics. Symptoms will resolve soon. If they persist after your course of antibiotics see your doctor again.
UTI hurts. Urinary tract infections hurt. It hurst to pee, as if you have cuts "down there". It makes you want to pee more frequently & with great urgency. Bottom line, take antibiotics as prescribed. Do not save a few for next UTI as a "just in case" measure. Some people get temporary relief w/otc azo type products to relieve burning but discuss w/your doc first before trying.