Commuted by bike everyday for the last five years. What I found was my Hein Gericke gear was waterproof but if I got wet going to work the suit would hold the water and end up very cold and heavy with water running into my gloves from it pooling at the cuff on the way home.
I’ve ended up with a second hand Klim Badlands jacket as it’s goretex pro, meaning it stops the rain getting in. Some of the expensive gore tex kit is simply a liner so the above still happens.
If you’ve got textiles that work for summer I’d just chuck a waterproof over suit on as decent weatherproof gear can end up very expensive. Instead invest in waterproof and warm gloves and boots.