It would, I think, depend where you are moving to.
However, our GP is excellent and there is never a long waiting period to see her. We can book appointments online and there has always been, for me, an appointment available the following day. If it's urgent, you can get an appointment the same day but it's a sit and wait and can be some time if there are lots of other people there.
I had the misfortune of being admitted to hospital in Torrevieja just after Christmas with severe abdominal pains. The GP sent me to A&E and I was seen by a triage nurse in a couple of minutes and ushered through to a doctor a few minutes later. Unfortunately, I have gallstones and they were causing my liver to fail. I was admitted and the rooms are fantastic. Individual rooms with en suite and they even provide towels. The nursing staff, doctors and ancillaries were fantastic. I was on several drips for feeding and painkillers for over a week and the place was spotless, The cleaner came round 3 times a day and the nurses were always there if needed.
The room had a pull out bed if my husband wanted to stay overnight (no rigid visiting hours and a visitor can stay 24 hours if they want) plus a TV and free WiFi. Some have said the nurses won't do anything like clean you or help dress you. True, the nurses are medical staff but they did help me with dressing (awkward with three drips in) and washing and a nursing assistant came in when I was violently sick one morning and, along with a medical student, cleaned me up.
The doctors visited every day and kept me up to date. After a week of flushing out my liver was back to normal and now I'm booked in for an endoscopy next week to remove the stone which is actually in my bile duct.
If you are moving over and under pensionable age you need to think about healthcare provision. If you intend to live here permanently you will need to take out what we call residency and you need to prove you have medical cover either state paid by your home country (pensioners, under 18, registered disabled and pregnant ladies get free cover with a state issued S1 form) or private medical cover for at least the first year. If you have any existing medical conditions the private insurance may be prohibitive if you can get it at all.
If you're just visiting you can use your EHIC (at the moment) for full cover including existing conditions (to be used for emergencies but that covers a multitude, such as diabetic treatment, INR, regular checks if you have a heart problem and asthma treatment plus lots of other things. It won't cover repatriation or ongoing treatment for a medical condition unless that is exacerbated during your stay). It also won't cover the cost of medication.
If you are going to work then you need to get a job with a proper contract which will provide you with medical cover on the basis of your social security payments and this will cover everyone in your household.
Of course, if you are from UK this may all change after March when we leave the EU. Then again, nothing may change at all but nobody, at the moment, knows exactly what will happen especially to people taking out residency after the UK leaves or, indeed, if you will be allowed to take out residency without proving a healthy financial situation and having private health care. A bit of a wait and see situation, I'm afraid.
Still, I've been here over 10 years now and find the medical treatment second to none. I waited 8 years in UK with chronic earache and only got given ear drops by my GP and never saw a specialist. Here my GP made me an appointment with a specialist within a week and I got excellent service.
Another point is not all doctors/nurses etc speak English. Even if they do, some won't because of the possibility of making a mistake so many expect you take an interpreter (at your cost) with you. I'm lucky in that my husband speaks good Spanish and always comes with me. My family doctor will speak a little English but is reluctant to do so. Both specialists I've seen at the hospital spoke excellent English as did the three general doctors there (two medics and a student). Most of the nurses spoke English very well and the rest got by on sign language as did the catering and cleaning staff (I was on a liquid only diet for a week which was horrible, sort of greasy consomme every main mail and a cup of weak tea with no milk plus apple juice for breakfast. Hubby would bring me a flask of Oxo or thin tomato soup to keep me going. One catering staff saw I hadn't been eating the consomme and brought me a bowl of home made chicken broth in but told me not to tell anyone. It was still liquid, though).
All in all, there will be a lot to think about before you make a move over. Healthcare is just one of them but I would highly recommend the service we have in this area.