This is one of the solutions to the classic usage problem of what pronoun to use for a generic or hypothetical human individual of indeterminate sex. See Is there a correct gender-neutral, singular pronoun (“his” versus “her” versus “their”)? This particular possibility is taken up in Caleb Thompson’s answer, and his example does involve using one twice:
One should save one's questions until the end.
In general, if you go with this solution, you are likely to have to repeat the one, maybe several times. Some writers and speakers lose their nerve and revert to singular “they” (“One should save their questions until the end”), but that is just sloppy: if you go for one, you really need to stick with that choice.
@njd comments upon Mr. Thompson’s answer and example:
This is correct, but has practically fallen into disuse because it suggests an embarrassingly high level of education. Shouldn't be embarrassing, but the UK has a lot of inverse snobbery, which makes people reluctant to use this form; so we tend to use "they/their" instead ("his or her" just feels too clumsy).
I suspect that the bad odo(u)r of this one solution, in the UK and particularly England, is less a matter of education than of the stereotyped tendency for upper-class English persons to use this oft-repeated one to indicate a hypothetical person whose sex may be either male or female but whose class is (of course!) their own, since others do not really exist for them, or are not worth talking about.
Speaking from an AmE perspective, I would say it tends to sound a bit stuffy when the one has to be repeated, but better stuffy than sloppy.
The rule is simple: when using "A or B", both the subsequent verb and adjective must match the plurality of B.
The listener is unaware of background information or related issues, but still comment on them.
Conversely,
The listener is unaware of related issues or background information, but still comment on it.
Best Answer
In my opinion, using one in this sense is grammatical but awkward. I don't think it is entirely a matter of formality or that the usage has fallen out of practice (although, comparing one can, he can, she can, they can on ngrams does tell an intriguing story). I think the use of one is comparable to the use of the passive voice: both are clear and technically correct, but simply strained.
The best solution is to use a more specific word than one.
A touch of awkwardness remains. An easy resolution is to replace his or her with their (if you accept the singular they).
Alternatively, we can just make the subject plural. After all, the library should accommodate multiple students.