He played collegiately for four seasons at Virginia Tech, leading the Hokies to the NCAA Division I Men's Soccer Tournament for the first time in nine years as a junior and earning a first-team all-Atlantic Coast Conference nod as a senior.

Lundgaard stepped straight into the starting lineup for the Hokies, making his debut on August 29, 2014, in a 1–0 overtime victory against SIU Edwardsville.

[6] Although he split time with three other goalkeepers, primarily senior Ben Lockler, Lundgaard made 12 appearances during his freshman season.

[12] Following his sophomore season at Virginia Tech, Lundgaard played in the Premier Development League (PDL) with Fresno Fuego.

He started the Eastern Conference play-in game but conceded a season-high four goals as the U-23s were eliminated by Long Island Rough Riders.

[18] Columbus Crew SC drafted Lundgaard with the 21st overall pick of the 2018 MLS SuperDraft, the first time that the club had ever selected a goalkeeper in the first round.

[21] After serving as the backup goalkeeper in each of the club's first two matches, he returned to Columbus on April 4 to undergo surgery for an injured ulnar collateral ligament in his thumb.

[24] For the second consecutive season, Lundgaard was sent on loan by Columbus, this time joining USL Championship club Pittsburgh Riverhounds SC.

Although he had been with the Hounds in preseason camp, the move wasn't made official until March 6, 2019, with the loan lasting for the duration of the 2019 USL Championship season.

[26] He appeared in four of the club's first six matches of the season, keeping two clean sheets, but fell out of the lineup behind Kyle Morton and midseason arrival Austin Pack.

[34] After the season was halted due to the COVID-19 pandemic and then resumed in July, Lundgaard remained as the primary starting goalkeeper, playing in 13 games.

In his last three appearances on the year, he made two penalty saves, with stops against Tampa Bay Rowdies on August 22 and Miami FC on October 4.

[11] His father, Per, competed for the University of Wyoming in swimming and water polo while his brother, Peter, played soccer at York College of Pennsylvania.