She gave me a watch.

Literal

She [topic-は] me [to-に] watch [object-を] gave.

時計 covers both watches (worn on the wrist) and clocks (on the wall, table, etc.) — Japanese doesn't lexically split timepieces by where they're placed, the way English distinguishes 'watch' from 'clock.' If you need to specify, 腕時計 ('arm-watch') is wristwatch, 置き時計 is desk/table clock, 掛け時計 is wall clock, 目覚まし時計 is alarm clock. The base 時計 alone defaults to whichever fits context.