Can I inherit breast cancer?

Not directly. Breast cancer is not directly passed from parent to child. However, an increased risk of developing breast cancer can be inherited. Mutations in the genes brca1 and brca2 increase your chance of developing breast cancer. You are not 100% guaranteed to get breast cancer if you inherit these genes, but the risk can be as high as 85%.
Depends. . Hereditary breast cancer occurs approximately in 15% of cases- majority of breast cancer is sporadic disease. Your risk will depend on how significant your family history of breast cancer , ovarian cancer , or other type of cancer- such as colon, endometrial/uterine cancer etc. The more significant your family history of cancer- the higher is your risk of having an inherited/hereditary cancer.
Yes. Approximately 10-15% of breast cancers in the US are hereditary. Most of these arise due to a mutation in the BRCA genes. These can be determined by a simple blood test. Approximately 2/3 of all women with one of these mutations will eventually develop breast cancer. There is a 50:50 chance that any child will inherit this mutation.