Answer
It will be less than 2p.
Work Step by Step
See equation 12.6, which gives the absolute pressure at a depth of h.
The original pressure is $p_o + \rho gh$.
Doubling h means that the pressure becomes $p_o + \rho g(2h)$, i.e., the second term doubles but the first term stays the same
The final pressure is less than twice the original pressure.
