As regards the atmosphere, it has been noted that if the planet is in a position to make a transit of the star as seen from Earth, then some important information about the atmosphere, including composition and thickness, may become available.
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Right.Depends on if it transits. I think the discovers of the planets estimate a 1 or 2 percent chance of that. This planet is very close to an active star. I'd expect it's atmosphere is going to match the stars stellar wind.
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This has been done - using transits, including grazing ones, to get a handle on an exoplanet's atmospheric composition, scale height, presence of clouds, etc - already. Though not for an exoplanet as small as Proxima b (IIRC).
If there are no transits, no chance whatsoever of being able to estimate these, before ~2065?
How about if something like a TPF or Darwin (see post upthread) were to be up and working, perhaps with some instruments specifically designed to investigate exo-atmospheres (what would they be)?