According to the Residential Tenancies Authority, arrangements about maintenance of gardens, including fruit trees, and lawns should be listed in the tenancy agreement.
With regards to yard work, such as mowing edging and weeding, the tenant is generally responsible for these. The tenancy agreement, however, should specify this.
Major work, like tree lopping or pruning trees and shrubs, is typically handled by the Property Manager/Landlord. This falls under their obligation to keep the property in good repair.
Plants, hedges or lawns that require regular upkeep by a specialist are not the responsibility of the tenant unless they agree.
The tenant may be responsible for clearing away small, manageable branches, but large branches that require specialist equipment may be the Property Manager/Landlord’s responsibility.