You don't "burn" at that stage, you "rip." Burn means printing/making the CD, rip means copying it from the CD to the HDD or Cloud or whatever. Now, when you rip, you need to rip in lossless format. In this case, what you want is FLAC, so what you have to do now is use a program that rips into that format. I'm sure more technically oriented folks here use other software, but I just use MediaMonkey; I'm assuming of course that the more tech-oriented guys might be more used to very barebone interfaces that others could find more confusing. I actually hate the new MediaMonkey interface and I haven't yet figured out how to get back to the grey one, but this Foobar-look isn't all that bad. Anyways just try them all out if downloads are free.
You can get MediaMonkey here: http://www.mediamonkey.com/
Oh, just one problem though: some newer CDs (starting 2008 I think) have some sort of security problem that disallows ripping by most software, so this is where owning an Apple product and having iTunes comes in handy (or at least I'm just not technically proficient enough to know how to get around it otherwise). I have somebody else rip it in ALAC and then I get the files in a flashdrive and convert them to FLAC.