Depends on the personality of your first cat really. Our first cat was a rescued alley cat who could be very aggressive to unfamiliar animals. When we brought the new kitten home, our first cat ("Mittens"... what a fierce sounding name) was so enraged at the presence of the kitten, that she made the little one crap herself. Literally.
The best solution was to lock the kitten in a bedroom and let them paw at each other under the door. After a few hours they'd be fine. This cycle would repeat whenever one of them went to the vet. A few hours with a door between and they'd be best friends again.
Someone at work just went through the same thing, but their first cat was very easy going. They just brought the kitten in and they adopted each other right away.
(Both females in each situation)
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