Years before making the NHL, Weal spent a season playing minor hockey in Saskatchewan with Notre Dame, a program that was a steppingstone to the League for such notable players as Rod Brind'Amour, Brad Richards, Tyler Myers and Jaden Schwartz.

As a 16-year-old Western Hockey League rookie in 2008-09 with Regina, he led all first-year players with 54 assists. In 2009-10, he was third in the WHL with 102 points (35 goals, 67 assists), and then led Canada in scoring with nine points (three goals, six assists) in six games at the 2010 IIHF World Under-18 Championship. The Los Angeles Kings selected him in the third round (No. 70) of the 2010 NHL Draft.

Weal returned to Regina in 2010-11 and tied for fifth in the WHL with 96 points (43 goals, 53 assists) in 72 games. He closed the season with seven games with Manchester, the Kings' American Hockey League affiliate.

As a 19-year-old in 2011-12, he tied for fourth in the WHL with 116 points (41 goals, 75 assists) and again saw time with Manchester. He turned pro full time in 2012-13 and, after scoring 33 points (15 goals, 18 assists) in 63 games for Manchester, he had back-to-back 20-goal seasons.

Weal made his NHL debut with the Kings against the Arizona Coyotes at home on Oct. 9, 2015. He played 10 games before being traded to the Philadelphia Flyers with a third-round pick in the 2016 NHL Draft for forward Vincent Lecavalier and defenseman Luke Schenn on Jan. 6, 2016. He played four NHL games the rest of the season.

Weal started 2016-17 with Lehigh Valley, the Flyers' AHL affiliate, and had 47 points (15 goals, 32 assists) in 43 games when he was called up to the Flyers on Feb. 10. He scored his first NHL goal against the Colorado Avalanche on Feb. 28, 2017, in the third period of a 4-0 home victory.