If you had gonorrhea history that has been treated already, and few months you started to have intercourse does bleeding during sex is normal?

Bleeding after sex is never normal, and is often a sign of STD like gonorrhea or chlamydia. Past gonorrhea won't do this -- but people with gonorrhea have high frequencies of reinfection and of other STDs. You need to see a doctor or clinic ASAP for diagnoss, including STD testing. Don't delay: you are at risk for serious complications, e.g. PID (tube infection that can cause infertility).