Nimble Legendary monsters will be much easier to run and provide a more dynamic experience, but you can run 5e legendary monsters as written just like other monsters! Change their AC to armor and simply roll their damage dice for attacks. They act 1/round (using their Lair / Legendary Actions as normal in 5e).
5e Legendary Monsters
GMG v1 p. 109
Related Rules
1Adventures5e Conversion / Adventures & Adjudication