Had c-section & 1mth pp. Don't have urge to urine & if hold too long get light throbbing pain in the uretha after I pee. Normal?

Can be. The bladder is next to the area where your c-section was performed and can get swollen and inflamed after surgery. When it is swollen, it may not give you the appropriate sensations when filling up. It is important to go to the bathroom regularly so you don't get overfilled and have that pain. With time, the inflammation will resolve and sensation will return.