Does my cat c, give me B+E over 3500?

as stated, thought I read somewhere that passing class 2 or cat c, gives you B+E over 3500,?
just wondering for a job im after just driving car transporter but he has a trailer as well for the van and I was wondering if I can pull that?

After completing c+e, you will automatically gain b+e.

ok thanks that clarifies it

If you have Cat C then I think you are limited to a trailer maximum of 750kg.

No. Getting cat C does not change your towing rights in any class. If you don’t have “xE” on your licence, you can’t tow with that class over 750kg.