This is a regular verb. It follows the conjugation pattern of the verb hablar.
PresentPresente
Mi perro me acompaña al parque cada día.
My dog accompanies me to the park every day.
FutureFuturo
Te acompañaré al médico mañana.
I will go with you to the doctor tomorrow.
ConditionalCondicional
¿Me acompañarías a la fiesta el sábado?
Would you come with me to the party on Saturday?