Can I forward old web addresses to new pages?

Yes. In your site's CMS, open Setup, then Redirects. Add the old address (the part after your domain, like /about-the-show) and pick where it should send people. Anyone who visits the old address lands on the page you chose instead of a "page not found" screen. Useful when a page moves, or when this site replaces an older website whose links are still out there.

Each redirect has a Type of move. Permanent (the default) tells search engines the page moved for good and hands its ranking to the new one, which is what you want almost every time. Temporary is for a short detour: it sends visitors along but keeps the old address in search results, so use it only when the old page is coming back.

To move a whole section at once, end the old address with a star, like /old-blog/*, which catches that address and everything under it. End the destination with a star too (like /blog/*) to keep the rest of each address, so /old-blog/2020/my-post lands on /blog/2020/my-post.