plotting - Multiple plots in SphericalPlot3D

I want to plot a 3D plot of a section of sphere with radius $r=1$, along with marking few points like $(\theta_1, \phi_1), (\theta_2, \phi_2)\ldots$. on it. How can I achieve it ?

Following command gives me a section of sphere, now how can I mark a point say $(\pi/8, \pi/8)$ on the surface

SphericalPlot3D[1, {phi, 0, Pi/4}, {theta, 0, Pi/2}]

thanks