If a woman underwent a double mastectomy, could she get breast implants?

Yes yes yes. That is a good option. Depending on the indication for the double mastectomy, the emotional and medical issues, the breast implants, aka reconstruction, can take a back seat. Which means, sometimes it is overwhelming to process all the changes and decisions. Good news is the implants can be done when you are ready. Take a friend with you. Be well.
Of course. This operation has recently gained widespread attention due to angelina jolie's decision to prophylactically remove both breasts and undergo reconstruction. This is a choice that should be made in consultation with your physician, oncologist, general surgeon, plastic surgeon and possibly a geneticist.