Yes, I'm sure. I would assume the connection is monitored, but it is not censored. (There is censoring done internally though.)

Egypt is not as technological as Israel, plus the border with Gaza is very very far from anything much in Egypt. It would take a lot of effort to bring Internet there.

Israel also provides phone service to Gaza, both via lines to local towers and via towers located in Israel.

People assume Egypt helps Gaza, but even in the Mubarak days they really didn't care about them much at all - just lip service. And certainly not today. They are not much different from the rest of the Arab world in this regard.