When looking at Jazz Standards as sheet music, do you play them as is or are you supposed to improvise off of them (or just add some flavor)?
TL;DR: You never play something as it is in Jazz, unless it is specified to for some reason. That's Jazz. If you listen to two takes of the same song by the same group, it (most likely) will sound totally different.
Longer Answer: It would be good at the beginning to practice with that kind of sheets you provided, especially if you don't have any idea what or how to play a jazz song. But if you're a bit experienced with jazz, I would suggest to take the song from a real book, which would look like this:
And improvise on top of that. As you can see, it has the melody and the chords, but it doesn't say exactly how you should play the chords; you have to figure that out for yourself. Also, the melody is rarely played like it is written in this music sheet. You'll have to find variations of that too. You'll have to improvise everything from this sheet.
This sheet should be looked as a kind of 'general guideline'; it has the melody and the chords as a reference point, but besides that, you'll have to do all the work yourself.
But using the real book from the beginning might be confusing and might get you lost, so if you can find sheet that help you with what you have to play, it'll help you get started. Also, using these sheets will give ideas on improvisation.