It would literally translate to "play a match on the computer".
However, this looks like an occasion that someone translated the English into Spanish incorrectly. "partido" is a game in the "match" sense. "To play a computer game" would be "jugar un juego al ordenador."
Puedas jugar?
Playing tennis in Spanish is jugar al tenis.
"el ordenador" means "the computer". you can also say la computadora, which means the same thing. i hope i helped!
¿Tiene usted un ordenador/una computadora? -formal ¿Tienes un ordenador/una computadora? -informal
jugar
Jugar Conmigo- Play with me. Quieres Jugar Conmigo- Do you want to play with me?
jugar is used to say play sport. If your trying to say "to play soccer" you would say "jugar futbol(soccer in spanish)"
To conjugate "jugar" with "ellos" (they), you would say "ellos juegan." This form is the third person plural of the verb "jugar" in the present tense.
computer in Spanish is ordenador -- la computadora
¿Quiere / quieren / quieres / queréis jugar?
partida, início, começo.
tocar