Grammar JLPT Level N4 - Lesson 21

ございます is a combination of the (special-class) verb, ござる (御座(ござ)る in its kanji form), and the auxiliary verb ます. It is considered polite speech, and is directly equivalent to ある (or いる).

• ありがとうございます。
  Thank you very much.
• 質問(しつもん)はございますか。
  Do you have any questions?

ござる itself is almost never used in daily conversation in modern Japanese, due to the preference of the polite form, ございます. However, ござる is regularly used in dramas, manga, and other forms of media (especially historical dramas).

• ここは私(わたし)の家(いえ)でござる。
  This is my humble abode.