She's fine without books, her awesome passive isn't affected by books at all. Books will mainly increase her stunning, but that was never the main point of Scyl for me anyway, the main point is being a dungeon carry with her constant heals and her revives in case it's ever needed. If you need so many revives that you need that cooldown reduced, you're probably doing something wrong with the rest of the team.
Your free book is awesome.
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I absolutely love Scyl and think she is slightly OP :). If you're not sure, maybe build her up and use her for awhile because while there is much advice to be given on here, at the end of the day you will be building your champs how you want them, and developing your own strategies.
like most champs she has Cooldowns which I think are a great improvement for her, if you want to pick up your teammates faster, then absolutely book her. I remember While I was entirely F2P up until around the 210 day mark, I saved every Lego book minus 2 of them just for her. I was infatuated with her kit about my 7th day in playing the game :)