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The sun would be 1/10000 the brightness as seen from Earth, making it largely indistinguishable from the background. And the 1000 year "year" would preset a real challenge to any would be astronomers out there...
Backstop-
Do you mean for putative astronomers on that object?
Yes, obviously it is probably held to our sun in a rather tenuous way--doesn't it just mean that it's more subject to our sun's gravity than to that of anything else (including a hypothesised large planet)?
Do we really have much of an idea what happens in the outer reaches of our/any solar system?
Oliver Schick
I find all this current research into the solar system very interesting:
https://www.theguardian.com/science/2018/dec/17/farout-astronomers-identify-most-distant-known-object-in-solar-system