Basically its not magento default functionality to enable total summary in shipping step. So we have to change some of files.
Let's follow below steps:

Step:1 To enable summary override below file.

app/code/Magento/Checkout/view/frontend/web/js/view/summary/abstract-total.js

override isFullMode()

 isFullMode: function() { /* if (!this.getTotals()) { return false; } return stepNavigator.isProcessed('shipping');*/ return true; } 

Step:2 To change shipping price value on selection of the shipping method You can override the following file.

app/code/Magento/Checkout/view/frontend/web/js/view/summary/shipping.js

change getValue() function.

getValue: function() { if (!this.isCalculated()) { return this.notCalculatedMessage; } //var price = this.totals().shipping_amount; /* comment this line and add below two lines. */ var shippingMethod = quote.shippingMethod(); var price = shippingMethod.amount; return this.getFormattedPrice(price); } 

It is working (y).

Basically its not magento default functionality to enable total summary in shipping step. So we have to change some of files.
Let's follow below steps:

Step:1 To enable summary override below file.

app/code/Magento/Checkout/view/frontend/web/js/view/summary/abstract-total.js

override isFullMode()

 isFullMode: function() { if (!this.getTotals()) { return false; } // return stepNavigator.isProcessed('shipping'); return true; } 

Step:2 To change shipping price value on selection of the shipping method You can override the following file.

app/code/Magento/Checkout/view/frontend/web/js/view/summary/shipping.js

change getValue() function.

getValue: function() { if (!this.isCalculated()) { return this.notCalculatedMessage; } //var price = this.totals().shipping_amount; /* comment this line and add below two lines. */ var shippingMethod = quote.shippingMethod(); var price = shippingMethod.amount; return this.getFormattedPrice(price); } 

It is working (y).