Converting a JPG to PNG does not improve it — the compression artefacts are already there — but it stops them getting worse. Every re-save of a JPG loses a little more; a PNG can be edited and saved endlessly with no further loss, and it can hold transparency once you cut the background out. This page opens the Image Converter pre-set to PNG.
Expect the PNG to be several times larger than the JPG: that is the cost of lossless storage of photographic detail. Use it as a working file, then export a compressed WebP or JPG for publishing.
This is a pre-set view of the Image Converter. Every option in the toolbar can still be changed.