Ashley Tisdale and her boyfriend Christopher French are spending every waking moment together, according to our photos ...

The edgy pair made a grocery run early Saturday morning and late took the 'Tis' dog Maui for a "walk" (he mostly cuddled in her arms except for a few pee breaks).

The Disney star and her Annie Automatic musician man have been dating since late last year. She said, recently, that communication is the key to relationships:

    "'I'm definitely old-school when it comes to dating. I'm not into the 'game' so much. If I like you, I'll confront you and be open about it. Then I expect you to come after me. Communication is so key. Especially in this business, I'm always traveling and doing something else. So I think communication is the foundation of it all."

Clocking in at 24 hours together non-stop -- that's a LOT of communication!