There are 12 major chords and 12 minor chords consisting of triads (three notes). Learn how to play all of them using one hand on the piano. That way, when you look up a chord chart for a favorite song, you can pretty quickly play the chords. Practice moving between chords with your eyes closed too! Just get pretty comfortable switching between chords, like you do on guitar
For ear training, I wouldn’t even worry about being able to call out the pitch of a note by hearing it. This skill is cool but most musicians don’t have it, though it can be developed (relative pitch). What is far more useful: being able to heard a chord, and recognize “oh that’s a major chord”. And then find it on the piano after a few tries. If you can do that, you’ll be able to figure out the chords of songs just by listening to them.