that's normal. comepletely normal, actually.
there's also an easy fix for it.
first, clear the cached data for the homebrew browser by deleting ux0:/data/vitahbbrowser. only the folder called vitahbbrowser.
then install a fixed version.
here's a link i found on here at gbatemp(dot)net/threads/vita-homebrew-browser-vhbb-black-screen.558920/:
mega(dot)nz/file/joglxAwD#Jw-Y0N6XcVGDV3mIFpv88d9M56FlHyH6r3sK0jY7-XM
this isn't mine, but i think this will work.
and if you still get the black screen, wait for about a minute.
hope that helps.