I didn't know but checked; from Arnhem Central Station there is a regular service by city bus nr.1 (Velp direction), which will take you to Bronbeek in about 15 mins.
If you want to fine tune your plans you can check on triple w.OV9292 dot nl * (OV stand for Public Transport and there is an English version) and fill in the date and time that you wish to travel on. Have a great time !!
* (from the site) - Sorry, questions may not include HTML or website links. Please edit your answer.
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