两者都不是。

既不能说 invite to do，也不能说 invite doing。

应该是 be invited to do sth.

应邀做某事。

或 invite sb. to do sth.

邀请某人做某事。

He was invited to attend the meeting.

他被邀请参加会议。

Lily invite her friends to travel on the weekend.

丽丽邀请她的朋友这周末去旅行。