I plan to go to the university tomorrow too.

Literal

Tomorrow [also-も] university [to-へ] go intend-is [assertion-よ].

も ('also, too') on 明日 implies 'tomorrow as well as other days.' 大学へ行く is 'go to university.' つもりだよ adds the assertion particle よ to the intention statement — giving it a tone of mild declaration.