Wow, That’s tough! I would choose between UNC and UCLA, there are both research power houses. The two schools are very similar academically, with UNC being smaller (18k undergrads vs 30k by UCLA). But if you intend on studying medicine/bio, then this fact makes UNC Chapel Hill the easier choice. UNC has one of the best medical schools in the country and has tons of business partnerships with large pharmaceutical drug makers for developing and researching new drugs.
http://www.newsobserver.com/news/business/article20646498.html
UNC and Duke collaborate on many medical research projects and both being located in the research triangle, the silicon valley of the biotech industry, it would be tough to pass up on all that.
http://www.newsobserver.com/news/technology/article38059185.html
The research triangle (where UNC and Duke are located) is full of biotech and large pharma companies in the United States.
http://biopharmguy.com/links/state-nc-all-geo.php
http://www.forbes.com/2004/06/07/cz_kd_0607biotechclusters.html
Here are all the universities that receive the most funding from NIH (government agency that awards money and grants to medical research)
https://en.wikipedia.org/wiki/National_Institutes_of_Health
2015 NIH Funding
JOHNS HOPKINS UNIVERSITY $584,714,172
UNIVERSITY OF CALIFORNIA, SAN FRANCISCO $560,409,410
UNIVERSITY OF MICHIGAN $453,368,007
UNIVERSITY OF PENNSYLVANIA $453,359,803
UNIVERSITY OF WASHINGTON $434,224,865
UNIVERSITY OF PITTSBURGH AT PITTSBURGH $430,310,349
STANFORD UNIVERSITY $422,361,283
UNIVERSITY OF CALIFORNIA SAN DIEGO $388,697,641
**UNIV OF NORTH CAROLINA CHAPEL HILL $379,585,711
WASHINGTON UNIVERSITY $378,098,015
**UNIVERSITY OF CALIFORNIA LOS ANGELES $370,715,745
DUKE UNIVERSITY $362,975,831
YALE UNIVERSITY $352,512,800
http://www.genengnews.com/insight-and-intelligence/the-top-50-nih-funded-universities-of-2014/77900233/?page=2
https://report.nih.gov/award/index.cfm?ot=&fy=2015&state=&ic=&fm=&orgid=&distr=&rfa=&om=n&pid=
If you want to do study medicine, I would say go to UNC Chapel Hill. But congratulations they are both amazing universities and very similar academically. You can’t go wrong either way!