I had a burning like sensation about 10 days after anal contact with a dildo that had a condom on it. This sensation came and went over the last 6 months. I recently found a pimple like, flesh colored growth about 1" inside my anus. When first pressed, this expressed a great deal of bright white pus. I have no other symptoms, but the burning tends to return after a few days as pus builds up. I have no noticeable discharge or any other sensations. What is this growth?

I would recommend that you see a health care provider. Such a "pimple" could be a variety of things. It could be an infected pustule in which case you should be treated with antibiotics. Sometimes they drain such pimples. This could be related to a wart or a hemorrhoid, which became inflammed. There are just too many possibilities. Please note that a dildo with a condom is probably safe. However sex toys, depending on how they are cleansed between use, can transmit the HPV virus (also known as the wart virus).