I'll probably get to see you next year.

Literal

Next-year [topic-は] honorific-meet-can [probably-でしょう].

お目にかかる is the humble (謙譲語) expression for 会う ('to meet') — literally 'attach to your eyes.' お目にかかれる is its potential form. This is ceremonial/business keigo, often used in written farewells or formal correspondence. The でしょう softens the statement.