Yes. If you turn iCloud Music Library, it will scan the library on this new PC and match songs, and upload whatever it cannot match.
Basically iTunes Match will try to match songs to the iTunes Store Catalog. Whatever it cannot match, it will upload.
Uploaded songs do not take up space from your iCloud account though.
You can read the link I provided above, it explains what iTunes Match does.
After you sign in with the Apple ID and password that you use with iTunes Match and turn on iCloud Music Library, iTunes matches and uploads your library. You can watch the progress of the matching and uploading in the upper-right corner of iTunes, and you can pause and resume this process at any time.
When iTunes is done, your matched and uploaded music appears in iTunes in the My Music tab. A download icon
appears next to any content that's in your iCloud Music Library and not on your computer.