Hello, both colleges are good, government colleges and most importantly are highly ranked.
They are highly ranked in Nirf ranking.
In my opinion you should go for NIT Durgapur Cs branch as Cs/ It are top branches and  as Nit Durgapur is a Nit, the Nit tag will always help you.

Nits have great infrastructure and placements and Nit Durgapur is a top Nit.
Also, Cs is good then It branch. And as you have mentioned for preparation for GATE you will find good opportunity for studies in it

Check this link for details about Nit Durgapur

https://www.careers360.com/university/national-institute-of-technology-durgapur

Check this link for details about https://www.careers360.com/university/indian-institute-of-engineering-science-and-technology-shibpur

Check this link for preparation of Gate exam

https://engineering.careers360.com/articles/how-to-prepare-for-gate

All the best.
Hope this will help you.

IIEST Shibpur

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