Is the Hugo Boss 1513862 a good everyday watch?

Yes, if you want a simple quartz watch with a dressy metal look for work and casual wear. It is not built for sports or heavy water use.

Does it need winding or a battery?

It runs on a quartz movement, so it uses a battery rather than a winding mechanism. A jeweler can replace the battery when it runs down.

Treat it as a watch for hand washing and light splashes only. Take it off for swimming, showering and diving unless the caseback states a higher water resistance.

How does it compare with a mechanical watch at the same level?

A mechanical watch offers craftsmanship and a sweeping seconds hand; this one offers quartz accuracy and low maintenance. Choose it for looks and convenience, not horology.

What should I check before buying?

Confirm the case size suits your wrist and that the bracelet can be sized to fit. Check the stated water resistance on the caseback if you plan to wear it near water.