Why no 1099 for short term capital gains from stocks?

The instructions on page 2 tell you that it's your job to correctly report your capital gains in your tax returns: "Please ... determine correct amounts to include in your return."

The Tax Withheld is zero because you didn't ask the brokerage to withhold any tax for you. That's normal.

Should not it list $70 somewhere as profit to me? If the 1099 is correct, then should I just report $70 as income, because its going to get taxed as normal income?

Your $440 sales prices, $370 purchase prices and $70 profit are listed on the Summary page in the Total Short-term section.

If you check the overview page, there are four blocks, for 1099-INT, 1099-DIV, 1099-MISC, and 1099-B. Three of them have all form-'boxes' listed as 0 (zero), but 1099-MISC (bottom left) has only boxes 2, 3, 4 and 8 listed as 0 (zero). The boxes 1, 5, 6, 7, etc. are not listed in that overview, as those are listed on the next page, separately for short term and long term trades - and those are the boxes that have non-zero data.
Basically, they did not show a sum for box 1, etc., but instead a list - and they don't mention that the list comprises the content for box 1, etc.
Certainly not the most clear 1099-* form I have ever seen; they make life unnecessarily hard.

For your taxes, you have to identify which of the numbers on page 2 map to which box of the 1099-MISC (by column headers), and enter them accordingly.

You marked up the area with the 'Federal Taxes withheld' (very end right) - it is normal that they are all zero. Brokerages typically don't pay your taxes; you have to do it. Those zeros are not saying you don't owe taxes, they are saying none have been already paid.