While in high school, Alroy served in the Haganah, and joined the Maccabi Netanya, beginning his career in sports.

[4] In the late 1940s and early 1950s, Yoel studied in the Hebrew University of Jerusalem, earning a degree in law in 1954.

Yoel entered local politics in 1973, joining the Herut party, and being placed second on its slate for the Netanya City Council.

[4] In 1984, he made his intentions to retire from political life clear, but was pressured by his supporters into making a run for Mayor of Netanya.

He assisted in the construction of the privately owned Sharon Mall, and efforts were made to introduce new gardens and playgrounds, while renovating the city's sidewalks.