The first ionization energy of the hydride ion is $\pu{0.7542 eV}$ as calculated by Mills (Ref.1) and measured experimentally by Lykke, et al. (Ref.2).
This is much less than the well-known $\pu{13.6 eV}$ ionization energy of Hydrogen and follows the general rule that ionization energies increase as you remove more electrons.
In this case, the positive charge of the nucleus is entirely screened by the first electron, so there's no additional electrical attraction - only a relatively small magnetic attraction between the spin-paired electrons. The weaker binding energy is reflected in a larger radius: $1+\sqrt{s(s+1)}$ times the Bohr radius of the neutral Hydrogen atom (where $s$ is the electron spin of $\frac{1}{2}$), according to Mills' theory (eq. 7.66 and 7.69).
References:
- Dr. Randell L. Mills, In The Grand Unified Theory of Classical Physics, 3 Volumes; 2018 edition; Copyrights: Dr. Randell L. Mills, 2018 (ISBN: 978-0-9635171-5-9)
- K. R. Lykke, K. K. Murray, W. C. Lineberger, "Threshold photodetachment of
$\ce{H−}$," Phys. Rev. A 1991, 43(11), 6104 (https://doi.org/10.1103/PhysRevA.43.6104).