Yes, this is a commonly seen mint medal. They were made in various metals. In his book, "Medals of the U.S. Mint", R.W. Julian labels this variety PR-38. First issued in 1869, the engraver was
William Barber. Later copies were struck in bronze which is what yours appears to be. Julian reported that these bronze medals were still being struck by the mint in 1977, the year his book was published. The earlier issues, particularly the ones I've seen struck in silver, evidence greater definition in the detail.
Sadly, I've seen some
ebay sellers touting these modern bronze issues as Civil War tokens. Uninformed buyers have at times paid nearly $100 for some I've watched. (Genuine Lincoln Civil War tokens typically fetch $60-$70 and up, depending on the variety and condition) As these mint medals were not issued until four years after the war, uninformed buyers may wrongfully deduce that they're bidding on an unlisted (rare) variety of Civil War token. In reality, exonumia or token dealers typically sell these bronze issues like yours in the $5-$10 range. There are similar looking mint medals that portray Washington, Jackson, Garfield - mixed and matched die pairings along with the Lincoln die, too.