What city? If you offered to show her the city, and you know spots she might like, then do it(she already said she is interested in seeing the city, so go ahead). I can't speak for every city, but if a girl was new to los angeles, I might take her to the canals in Venice and walk along the venice pier and maybe along the beach, then try to escalate and go home and bang. Or maybe the getty center villa, and then escalate and go home and bang.
If she is an artsy chick, you can try taking her to a museum or art gallery(and escalate and go home and bang or at least get a makeout or blowjob).
If she is an artsy chick, you can try taking her to a museum or art gallery(and escalate and go home and bang or at least get a makeout or blowjob).