Both pronunciations are used. It depends what comes before the phrase.
1. -(ㄴ/은/는) 것 같아 = [걷 까타]. (after an n sound, ㄱ pronounces normally)
2. -(ㄹ/을) 것 같아 = [껃 까타]. (after a ㄹ, ㄱ in 것 is pronounced like ㄲ)
In daily conversation, however, we say the simplified 거 more often than 것, and this makes the last part pronounced as 가타 instead of 까타. That is, the ㅅ in 것 is what makes the subsequent consonant tensed, so if we use 거, it goes back to the normal sound 가.