It is clear how so many students from IIT Gandhinagar have answered your question before me. And this is what makes these answers slightly biased. But I would try on my part, to provide you with authentic information on IIT Gandhinagar- without coming off as biased. 

STEP 1: DECIDE YOUR BRANCH

• This is a very tricky part. It's either the Electric or CS branch that leaves students confused. 
• Honestly, it is of no use to pursue Electrical Engineering while uninterested at IIT. 
• If you are still indecisive, you can talk to the ex-students of that department. 
• BITS is great for CS and IIT Gandhinagar for Electrical Engineering. But if you still have some second thoughts, try this next step.

STEP 2: BITS vs IIT

• BITS being older and having more experience makes placements easier. They also offer more salary packages for a CS degree than an Electrical Engineering degree at IIT Gandhinagar. 
• IITs still have an upper hand as a brand name. In case you are wanting to shift to the USA for higher studies, it would be great. Otherwise, BITS Goa isn't that bad a choice in India as it is valued equally as the other IITs. 

Therefore, if the USA is on your bucket list, go for IIT. Grabbing a foreign internship at IIT Gandhinagar is easier. But then if you simply want to stay in India and study, BITS Goa and IIT Gandhinagar stand equal as a brand. 

In case you have second thoughts on learning MS applications and shifting abroad, check the next step.

STEP 3: TAKE IT EASY

• For you, neither the college nor the branch is a big deal. You have both the choices open. Think it through and choose a place where you learn for 4 years, pursuing your B.Tech degree. 
• According to location, Goa is definitely better than Gujarat, as the climate there is balanced and not extremely hot or humid.

One of my friends had an option to choose between a certain branch that held his interest among IIT Gandhinagar for Electrical Engineering or the AIEEE colleges. It even included underrated IITs like metallurgy, aeronautical, etc. But he was certain about Electrical. Eventually, the choices came down to NIT Warangal and IIT Gandhinagar. He then thought that NIT Warangal was better than BITS Goa despite having BITS Goa for Electrical. And he eventually went for IIT Gandhinagar considering its popularity.

He was a 2013 pass-out and even after this, he is still not sure if he had made the right decision. It is fine if you're unable to make a decision. But once you decide, make sure to excel at it.