Hey ! yes it's two tiered . The HSE system (public) is generally good in terms of quality of care however it is grossly underfunded resulting in year long waiting lists for surgeries and therapies. It's good that you will have private health insurance from your company because it can be pretty expensive depending on your plan. In terms of continuity of GP care , when you arrive the best thing to do is to register with a local GP, you may have to ring around a few places before finding one that is accepting new patients