Lab results say I'm too anemic to have breast implants. My doctor is recommending me to take pills for a week

If your lab results are that bad, I think you should first talk with your primary care physician.  It is doubtful that one week of pills (iron supplements?) will cause a substantial correction.  The bigger question is why are you so anemic?

Its not uncommon to have anaemia and in your case it seems minor, as your doctor thinks one week of iron supplementation should do. but in any case I prefer to have the test repeated and have it within normal limits before rescheduling. If anaemia is severe then further investigations will be required. To have normal hemoglobin ensures safe surgery and anaesthesia.