First of all, this belongs in "
Home and Garden", not "Power Supplies".
But that aside...
you could convert an existing outlet to 240 by replacing the breaker with a double pole.
Not in 99.9% of rental apartments, he couldn't, at least not legally and/or without breaching his lease...
Return it and buy, or exchange it for, a 110V unit.
A) You won't even be able to plug it in to a 110V outlet;
B) even if you could plug it into a 110V outlet, it wouldn't work; and
C) no landlord in his, her, or its (corporate) right mind will let you screw around with the wiring yourself (with excellent reason, frankly, since you're asking this question in the first place), if it would even be legal with LL approval in your jurisdiction. (And fwiw, in many, or maybe even most, places, it wouldn't be legal at all, though of course you'd most likely "get away with it", if the LL okayed it.) And hiring an electrician to do the work, if the LL allowed even
that, would obviously cost more than the difference between the A/C you bought and one you should've bought.
And since you made a poor decision to buy this unit just because it was "cheap", ignoring the fact that it was also completely useless to you, you'll have to pardon my reminding you to check the amperage of the circuit you'll be plugging an A/C into, as well as noting what else is already plugged into that circuit, to make sure it can handle the power requirement of whatever unit you do end up buying. You should of course also make sure the unit you buy is sized appropriately (in terms of BTUs) for the space you want to cool. Beyond a relatively small margin of "extra" capacity, bigger is not better "just because more BTUs..." And these days, 220V A/Cs are typically only made in very large-capacity units which leads me to wonder if the one you bought might not have also been too big on top of the problem of being incompatible with your available wall outlet(s). An A/C with significantly larger cooling capacity than your space requires is
not a good choice.