Just paid to stamp a document and thought the process was very easy - nice job!

Question: Help me understand the bitcoin financial transaction - I'm not well-versed in bitcoin. In blockchain.info I see "Total Input: 0.0002 BTC" and "Fees: 0.0002 BTC". Is my assumption correct that you had to make a minimal legitimate bitcoin transaction to appear in the ledger (.0002BTC / $0.05), then pay that same amount again as a fee, costing you roughly $0.10USD?

More simply, how much bitcoin is being transacted and who is it going to/from in order for you to create the stamp?