To laze is to be very relaxed. On a hot summer weekend morning, you might want to laze on the beach or in a hammock with a book.
When you laze, you lounge around, not working or really doing much of anything: you're being luxuriously lazy. If your friend asks what you plan to do during a school holiday, you might reply, "I'm just going to laze around all week." Laze came from lazy, originally laysy, and meaning "averse to work." Its origin is a mystery, though some experts think it's related to lay.