I turn on the laptop, open the browser, and type in the URL I've already memorized.

Literal

Laptop [possessive-の] power [object-を] turn-on, browser [object-を] start-up, already memorized-[completion-てしまった] address [object-を] type-in.

A chain of habitual actions linked by て-form and verb-stem continuative (入れ is the continuative form of 入れる). ブラウザを立ち上げる 'to start up a browser' uses 立ち上げる, a compound verb literally meaning 'to stand up and raise.' もう覚えてしまった 'already ended up memorizing' — the てしまう suggests it happened inadvertently from repetition.