Is it normal to for your boobs to look more cone like right after a breast aug?

Thank you for your question and congratulations on your recent surgery. You are very early in the post-operative period and swelling is to be expected. It typically takes 3 - 6 months for the swelling to subside and the implants to settle into proper position. Swelling usually accounts for 10 - 15% of the initial post-operative appearance. The implants may swell asymmetrically, but usually settle evenly. Please discuss your concerns with your board certified plastic surgeon. Also, make sure you follow all of your plastic surgeons post-operative instructions regarding level of physical activity and use of a support bra. Hope this helps and good luck with your recovery.

Your breasts
can look a bit odd for the first couple weeks after breast augmentation as the
swelling goes down and your body heals and adjusts to the breast implants. Swelling
could also be obscuring the placement if you are a few days post-op. Your
breast implants might be slightly higher than you think. Still, it’s too early
in your recovery process to see your final results. It can take 3 to 4 months
for breast implants to soften and 6 months for the implants to settle into the
breast pocket. The shape and appearance of your breasts could change during
that time.

At this point you are
early in the healing process. Swelling will continue to settle and implants will continue
to settle for the next 3 months. Follow up with your surgeon as directed.
Regards,

     Without the benefit of photos or an exam, your description sounds normal for the immediate post-operative period.  I will take several months for the implants to fully relax and obtain a more natural appearance.  Best wishes.

Its hard to say, without the benefits of photographs, to advise you. Generally speaking, breast to not look "normal" for several weeks after breast augmentation in many cases. I routinely ask my patients to wait at least 3-6 months before evaluating the end results of the breast augmentation surgery. This waiting time allows patients to (usually) physically and psychologically adapt to the new body image. It may take this period of time for the breast to soften and for the breast implants to settle ("drop and fluff").From the physiological standpoint, it takes many months (and even up to one year) to see the final results of surgery. factors such as swelling, tissue contraction, skin redraping, implant shifting etc. come into play.
From the psychological standpoint, patients undergo an “adaptation period" during which time they get used to the changes that the surgical procedure has brought about. 
In your case, I would suggest continued patience and continued close follow-up with your plastic surgeon.
Best wishes.