You have a climbing speed equal to your walking speed and you can climb difficult surfaces, including upside down on ceilings, without needing to make an ability check. In addition, you ignore movement restrictions caused by webbing. 

When you take the Attack action on your turn, you can replace one of your attacks with a shot of webbing from your spinnerets, targeting a creature within 60ft. The creature must succeed on a Dexterity saving throw with a DC of 8 + your Dexterity modifier + your proficiency bonus, or be Restrained until the end of your next turn. You can use this ability a number of times equal to your proficiency bonus, and regain all expended uses once you finish a long rest.

Your cursed adaptation to the pitch blackness of the underdark has cost you your eyes, but honed your other senses. You are permanently afflicted with the Blinded condition, and instead have 60ft. of Tremorsense. If you are touching webbing that extends outside this radius or into the air, you know the location of any creatures in contact with it.