Bileca was born in Miami, and attended Tulane University, where he graduated with a bachelor of science in management degree in 1992.

In 2010, when incumbent Republican State Representative Julio Robaina could not seek another term due to term limits and instead unsuccessfully ran for the Florida State Senate, Bileca ran to succeed him in the 117th District, which was based in north-central Miami-Dade County, including the cities of South Miami, Coral Gables, and Cutler Bay.

In a crowded Republican primary that included Ralph Rosado, Ana Alliegro, Jose M. Pazos, Juanky Robaina, Marcus Rivchin Jr., and Ernesto Martinez, Bileca came out in first place with 40% of the vote.

In the general election, he faced Democratic nominee Lisa V. Lesperance, who was endorsed by the Miami Herald, which noted that she was "best suited to represent constituents" in the district.

The epidemic costs tax payers tens of millions of dollars, as drug users, many homeless, crowd public hospitals for treatment.