Mostly, yes. PPC (pay per click) covers any advertising where you pay for clicks, and Google Ads is by far the biggest platform for it in the UK. A PPC agency usually also runs Microsoft Ads and sometimes Meta Ads, while a Google Ads agency may focus on Google alone.
For most local service businesses, Google Search is the channel to start with, because it reaches people who are already looking for what you do.
Microsoft Ads reaches searchers on Bing and Microsoft products, often at a lower cost per click, and makes sense once Google is working. Meta Ads reaches people before they search, which suits visual work and offers more than emergency jobs.
Ask any agency which channels the fee covers. Some quote a low fee for Google only, then charge again for each extra platform.
Useful pages
This is one part of a bigger picture. How to choose a PPC agency in the UK covers costs, pricing models, ownership, contracts, tracking and red flags in one place.