Abdul Sater Assaf and his family arrived in Indianapolis less than two weeks ago after resettling in Indianapolis with help from the Catholic Church.
A federal jury found a teachers' employer, the Diocese of Fort Wayne-South Bend, guilty of discrimination.
The conference aims to explore how Catholic teachings can be more inclusive of the LGBT community.
Tobin succeeds Archbishop Daniel Buechlein who retired 13 months ago for health reasons.
The National Catholic Youth Conference is being held in Indianapolis this weekend.