Yes — through net metering or a feed-in tariff you get credit or payment for surplus solar exported to the grid.
Yes. Most grid-connected homes can send surplus solar to the grid and receive value for it, either as bill credit (net metering) or a per-unit payment (feed-in tariff), depending on your country and utility.
Under net metering, exports offset your imports one-for-one on the bill. Under a feed-in tariff, you're paid a set rate per exported unit — sometimes lower than the retail price you pay for imports.
Because export rates are often lower than what you pay to buy power, it usually pays to use your solar directly (or store it in a battery) rather than export it — but exporting surplus is still better than wasting it.
This is general guidance — figures vary by location, tariff, equipment and installer. Always confirm details for your own home before deciding.