I have a girlfriend, she's got surgical operation for her heart cause abnormal condition since born. if i marry her, will my child get same condition?

Possible: Unlikely, but possible. Talk to her cardiologist to find out is this condition inheritable.

Unlikely to happen: Inheritance risk of a congenital heart defect is variable and involves genes on several chromosomes.Most list the risk of any form of congenital heart disease if a single parent had any form is 4%.That does not mean the same defect, but any defect.If both parents had a form, 8%. If one or both parents has a genetic syndrome that includes a heart defect (exceedingly rare) the risk could be higher.