I don’t think they do, but I can’t find anything that says otherwise.
Beginning in 1959, all living former presidents were granted a pension, an office and a staff. The pension has increased numerous times with Congressional approval. Retired presidents now receive a pension based on the salary of the current administration’s cabinet secretaries, which is $191,300 as of 2008
More related info from Snopes and About. These things make the chain email circuit once in a while.