Research suggests that glutathione taken orally is not well absorbed across the GI tract. A study of acute oral administration of a very large dose (3 grams) of oral glutathione found that it is not possible to increase the circulation of glutathione in a clinically relevant way. However, glutathione concentrations can be raised by increased intake of the precursor "cysteine".
Cysteine is taken like N-acetyl L-cysteine (NAC). Reported side effects from taking NAC are: blurred vision, nausea and vomiting.