Presbyter is simply the more formal, historic term for what most people know as an Anglican priest. The two words refer to the same order of ordained ministry — the second of the three historic orders, between bishop and deacon.
A presbyter is ordained by a bishop, usually after first serving for a period as a deacon. Once ordained priest, they are authorised to lead a congregation, preside at the Eucharist, pronounce absolution and blessing, and carry out the full range of parish pastoral ministry — preaching, teaching, visiting the sick, preparing couples for marriage, and conducting funerals.
In everyday parish life, a presbyter usually holds a title reflecting their specific role — such as vicar, rector, or priest-in-charge — depending on the province and the parish's own history and legal arrangements, though all these titles refer to the same underlying order of ordained ministry.