No chlamydia is a STD that requires medications. Sometimes you can get medications that you can take all at one time and thats it, or you will have to take the meds for about seven days. The only things that will pretty much cure itself is bacteria Vaginosis. That however can still not go treated for a long period of time because it can get extremely uncomfortable.
No you need to get it treated with antibiotics (and your partner also). If you let it go you can get PID (pelvic inflammatory disease) which causes scarring of the tubes and can lead to infertility among other things.