try pcregrep instead of regular grep:
pcregrep
grep
pcregrep -M "pattern1.*\n.*pattern2" filename
the -M option allows it to match across multiple lines, so you can search for newlines as \n.
-M
\n
grep patterns are matched against individual lines so there is no way for a pattern to match a newline found in the input.
However you can find empty lines like this:
grep '^$' filegrep '^[[:space:]]*$' file # include white spaces
Thanks to @jarno I know about the -z option and I found out that when using GNU grep with the -P option, matching against \n is possible. :)
Example:
grep -zoP 'foo\n\K.*'<<<$'foo\nbar'
Prints bar
bar