After the new wheels and tyres, I fitted the long promised Shimano 105 11/34 cassette. Will it provide the easier climbing I hope for?

My kit links:
Ribble CGR AL e https://tidd.ly/2TPxLdq
Triban RC520 https://tidd.ly/3ugNnq6
Decathlon https://tidd.ly/347cqkP

Redshift System
Redshift website https://redshiftsports.com?aff=14
Seatpost on Amazon UK https://amzn.to/3BljUeT
Stem on Amazon UK https://amzn.to/3gIt8tU

Cycle Pal tools. Use code Roy25 at checkout to receive 25% discount https://cyclepal.co.uk?sca_ref=949294...

Handlebar Bag https://amzn.to/3EjLBqC

Fingerless Gloves https://amzn.to/3hvRszz

Pannier Rack Tortec Ultralight