Yes. Your website does need converting to HTTPS. There have been a few blog posts around suggesting that it’s pointless unless you have credit card transactions, but they’re incorrect. Here are a couple of articles to read:
Converting to HTTPS is not a 2-minute job – there are a number of considerations and potential hiccups, so make sure you get it done by someone who’s done it before. But as you’ll read above, it needs to be done.