He graduated from the Liszt Ferenc Academy of Music in Budapest. Between 2013 and 2023, he served as the first organist of the Dohány Street Synagogue and the Church of Holy Angels in Gazdagrét, Budapest.
Dobszay conducts worldwide; he has performed with the orchestras of the Kyoto Music Festival in Japan, the Symphony Orchestra of the Mussorgsky Conservatory Ural in Russia, the Philharmonisches Orchester Altenburg-Gera in Germany, the State Philharmonic Orchestras of Oradea, Târgu Mures and Satu Mare in Romania. He has played the organ in prestigious venues such as the Basilica of the Holy Sepulchre in Jerusalem, St. Stephen's Cathedral in Vienna, the Geneva University of Music, and in Macedonia.
He is a regular guest conductor at the Hungarian State Opera House, the Hungarian National Philharmonic Orchestra, the Hungarian Radio Symphony Orchestra, the Danubia Orchestra Óbuda, the Pannon Philharmonic Orchestra, the Győr Philharmonic Orchestra, the Savaria Symphony Orchestra, the Szeged Symphony Orchestra, the Miskolc Symphony Orchestra, the Szolnok Symphony Orchestra, the MÁV Symphony Orchestra, the Saint Stephen Philharmonic Orchestra, and he has performed with the Dohnányi Orchestra Budafok as well. He is a frequent guest conductor at the Budapest Operetta Theatre.
He was the finalist and the Audience Prize winner of the Maestro Solti International Conducting Competition in 2017.
Dobszay believes that contemporary music is of vital importance in concert halls. He has been invited for the so-called “Z recordings” by the Hungarian National Radio, and he premiered several contemporary compositions.