Right now you can get Articuno and Mew in research tasks and Ho-oh out of legendary eggs. You can also catch Mewtwo if you have an Ex-raid pass.
No other legendaries can be found.
Legendaries hatch out of silver eggs, the egg spawns and countdowns for 45 minutes then hatches. Once it hatches you have 45 minutes to start battling it. You need multiple people to faint it. Like over 8. Then you get 9-14 or so Premier balls to catch it if you win, if you use all of them then it flees and you can't catch it. If its shiny then it has a 100% catch rate as long as it goes in the ball.