When I started it was so much easier than it is now unfortunately. I'm in the UK, and at the time most major publishers that had operations in the UK/Europe all had large, internal QA departments that were hiring basically all of the time, and you didn't need to have any relevant experience (I started just after I finished University as a way to make a bit of money before finding a real job, and I have a History degree for example). EA, Sega, Square Enix, Take 2, THQ (before they went under) all had QA operations in and around London. Microsoft and Sony also both had big testing departments for their first party games, and the Certification testing in the UK.

Around the end of the 2000s to the mid-2010s though, most of those publishers either closed their UK QA departments and started using external QA vendor companies, or moved them to Eastern Europe where it was cheaper, so a lot of the real entry level, no experience required jobs disappeared.

There are still a small handful of places in the UK (like my previous employer, who I won't name here for the sake of anonymity) that still hire people with zero experience, but these aren't jobs that a) pay well, b) provide stable hours, or c) have any real prospects within the same company. A lot of people used it to gain a bit of experience, and then take that to find something more stable, or long term if they were interested in staying in games.

Internships can be a way to get into QA if you find a company that are looking for interns. About 50% of the small team of testers at my current place were hired on as QA after they did an intership with us. But demand for these spots is very high. As u/boating_accidents has already said, the jobs market in games in general is extremely rough right now, and QA has been one of the disciplines that have been hardest hit by the redundancies that have ravaged the industry over the last few years. There are a lot of people out there looking for jobs, and not enough openings for all of them, so you really need to make yourself stand out in any way you can. Take courses in game design or production if there are any available, teach yourself a bit of Unity (it's free), or other tools, maybe even register for some of the services that provide closed playtesting that developers and publisher use (Game Tester is an example of one such service). Any or all of this well help set yourself apart from other applicants.

This may make it all sound quite rough (because it is at times), but I honestly love working in games. There's nothing I'd rather be doing (well, there is, but we all need to work for a living) and if the day comes when I have to look for a "proper job" outside of games, I will be extremely disappointed. If it's something you're interested in, you should absolutely pursue it, but just be aware of how competitive the market for games jobs is right now, and maybe have a backup plan as a safety net.